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Finding the Third Proportional to 454.78 and 685.97

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Solution

The third proportional to 454.78 and 685.97 is: 1,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 685.97 = 685.97 : x
  2. Step 2: Convert to fraction form
    454.78/685.97 = 685.97/x
  3. Step 3: Cross multiply
    454.78x = 685.97 × 685.97
  4. Step 4: Simplify right side
    454.78x = 470,553.13
  5. Step 5: Solve for x
    x = 470,553.13/454.78
  6. Step 6: Final answer
    x = 1,034.68

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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.