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Finding the Third Proportional to 377,885,385,414 and 832,795,847,130

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Solution

The third proportional to 377,885,385,414 and 832,795,847,130 is: 1,835,342,010,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,885,385,414 : 832,795,847,130 = 832,795,847,130 : x
  2. Step 2: Convert to fraction form
    377,885,385,414/832,795,847,130 = 832,795,847,130/x
  3. Step 3: Cross multiply
    377,885,385,414x = 832,795,847,130 × 832,795,847,130
  4. Step 4: Simplify right side
    377,885,385,414x = 693,548,922,996,974,315,110,400
  5. Step 5: Solve for x
    x = 693,548,922,996,974,315,110,400/377,885,385,414
  6. Step 6: Final answer
    x = 1,835,342,010,480.62

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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.