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Finding the Third Proportional to 377,885,406,635 and 832,795,895,861.50

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Solution

The third proportional to 377,885,406,635 and 832,795,895,861.50 is: 1,835,342,122,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,885,406,635 : 832,795,895,861.50 = 832,795,895,861.50 : x
  2. Step 2: Convert to fraction form
    377,885,406,635/832,795,895,861.50 = 832,795,895,861.50/x
  3. Step 3: Cross multiply
    377,885,406,635x = 832,795,895,861.50 × 832,795,895,861.50
  4. Step 4: Simplify right side
    377,885,406,635x = 693,549,004,163,758,317,109,248
  5. Step 5: Solve for x
    x = 693,549,004,163,758,317,109,248/377,885,406,635
  6. Step 6: Final answer
    x = 1,835,342,122,204.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.