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Finding the Third Proportional to 487.55 and 688.92

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Solution

The third proportional to 487.55 and 688.92 is: 973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.55 : 688.92 = 688.92 : x
  2. Step 2: Convert to fraction form
    487.55/688.92 = 688.92/x
  3. Step 3: Cross multiply
    487.55x = 688.92 × 688.92
  4. Step 4: Simplify right side
    487.55x = 474,613.35
  5. Step 5: Solve for x
    x = 474,613.35/487.55
  6. Step 6: Final answer
    x = 973.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.