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Finding the Third Proportional to 656.86 and 742.92

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Solution

The third proportional to 656.86 and 742.92 is: 840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.86 : 742.92 = 742.92 : x
  2. Step 2: Convert to fraction form
    656.86/742.92 = 742.92/x
  3. Step 3: Cross multiply
    656.86x = 742.92 × 742.92
  4. Step 4: Simplify right side
    656.86x = 551,932.91
  5. Step 5: Solve for x
    x = 551,932.91/656.86
  6. Step 6: Final answer
    x = 840.26

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.