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Finding the Third Proportional to 186,987.50 and 402,487

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Solution

The third proportional to 186,987.50 and 402,487 is: 866,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987.50 : 402,487 = 402,487 : x
  2. Step 2: Convert to fraction form
    186,987.50/402,487 = 402,487/x
  3. Step 3: Cross multiply
    186,987.50x = 402,487 × 402,487
  4. Step 4: Simplify right side
    186,987.50x = 161,995,785,169
  5. Step 5: Solve for x
    x = 161,995,785,169/186,987.50
  6. Step 6: Final answer
    x = 866,345.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.