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Finding the Third Proportional to 400.57 and 707.17

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Solution

The third proportional to 400.57 and 707.17 is: 1,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 707.17 = 707.17 : x
  2. Step 2: Convert to fraction form
    400.57/707.17 = 707.17/x
  3. Step 3: Cross multiply
    400.57x = 707.17 × 707.17
  4. Step 4: Simplify right side
    400.57x = 500,086.54
  5. Step 5: Solve for x
    x = 500,086.54/400.57
  6. Step 6: Final answer
    x = 1,248.44

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.