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Finding the Third Proportional to 457.88 and 717.38

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Solution

The third proportional to 457.88 and 717.38 is: 1,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.88 : 717.38 = 717.38 : x
  2. Step 2: Convert to fraction form
    457.88/717.38 = 717.38/x
  3. Step 3: Cross multiply
    457.88x = 717.38 × 717.38
  4. Step 4: Simplify right side
    457.88x = 514,626.89
  5. Step 5: Solve for x
    x = 514,626.89/457.88
  6. Step 6: Final answer
    x = 1,123.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.