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Finding the Third Proportional to 657.47 and 987.91

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Solution

The third proportional to 657.47 and 987.91 is: 1,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.47 : 987.91 = 987.91 : x
  2. Step 2: Convert to fraction form
    657.47/987.91 = 987.91/x
  3. Step 3: Cross multiply
    657.47x = 987.91 × 987.91
  4. Step 4: Simplify right side
    657.47x = 975,958.76
  5. Step 5: Solve for x
    x = 975,958.76/657.47
  6. Step 6: Final answer
    x = 1,484.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.