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Finding the Third Proportional to 78,463.69 and 171,861.75

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Solution

The third proportional to 78,463.69 and 171,861.75 is: 376,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463.69 : 171,861.75 = 171,861.75 : x
  2. Step 2: Convert to fraction form
    78,463.69/171,861.75 = 171,861.75/x
  3. Step 3: Cross multiply
    78,463.69x = 171,861.75 × 171,861.75
  4. Step 4: Simplify right side
    78,463.69x = 29,536,461,113.06
  5. Step 5: Solve for x
    x = 29,536,461,113.06/78,463.69
  6. Step 6: Final answer
    x = 376,434.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.