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Finding the Third Proportional to 458.78 and 710.97

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Solution

The third proportional to 458.78 and 710.97 is: 1,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 710.97 = 710.97 : x
  2. Step 2: Convert to fraction form
    458.78/710.97 = 710.97/x
  3. Step 3: Cross multiply
    458.78x = 710.97 × 710.97
  4. Step 4: Simplify right side
    458.78x = 505,476.56
  5. Step 5: Solve for x
    x = 505,476.56/458.78
  6. Step 6: Final answer
    x = 1,101.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.