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Finding the Third Proportional to 457.17 and 987.47

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Solution

The third proportional to 457.17 and 987.47 is: 2,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.17 : 987.47 = 987.47 : x
  2. Step 2: Convert to fraction form
    457.17/987.47 = 987.47/x
  3. Step 3: Cross multiply
    457.17x = 987.47 × 987.47
  4. Step 4: Simplify right side
    457.17x = 975,094.53
  5. Step 5: Solve for x
    x = 975,094.53/457.17
  6. Step 6: Final answer
    x = 2,132.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.