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Finding the Third Proportional to 402,861.38 and 868,767.75

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Solution

The third proportional to 402,861.38 and 868,767.75 is: 1,873,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,861.38 : 868,767.75 = 868,767.75 : x
  2. Step 2: Convert to fraction form
    402,861.38/868,767.75 = 868,767.75/x
  3. Step 3: Cross multiply
    402,861.38x = 868,767.75 × 868,767.75
  4. Step 4: Simplify right side
    402,861.38x = 754,757,403,440.06
  5. Step 5: Solve for x
    x = 754,757,403,440.06/402,861.38
  6. Step 6: Final answer
    x = 1,873,491.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.