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Finding the Third Proportional to 402.47 and 606.87

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Solution

The third proportional to 402.47 and 606.87 is: 915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.47 : 606.87 = 606.87 : x
  2. Step 2: Convert to fraction form
    402.47/606.87 = 606.87/x
  3. Step 3: Cross multiply
    402.47x = 606.87 × 606.87
  4. Step 4: Simplify right side
    402.47x = 368,287.78
  5. Step 5: Solve for x
    x = 368,287.78/402.47
  6. Step 6: Final answer
    x = 915.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.