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Finding the Third Proportional to 466 and 686.13

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Solution

The third proportional to 466 and 686.13 is: 1,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 686.13 = 686.13 : x
  2. Step 2: Convert to fraction form
    466/686.13 = 686.13/x
  3. Step 3: Cross multiply
    466x = 686.13 × 686.13
  4. Step 4: Simplify right side
    466x = 470,767.52
  5. Step 5: Solve for x
    x = 470,767.52/466
  6. Step 6: Final answer
    x = 1,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.