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Finding the Third Proportional to 387.49 and 688.92

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Solution

The third proportional to 387.49 and 688.92 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.49 : 688.92 = 688.92 : x
  2. Step 2: Convert to fraction form
    387.49/688.92 = 688.92/x
  3. Step 3: Cross multiply
    387.49x = 688.92 × 688.92
  4. Step 4: Simplify right side
    387.49x = 474,613.35
  5. Step 5: Solve for x
    x = 474,613.35/387.49
  6. Step 6: Final answer
    x = 1,224.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.