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Finding the Third Proportional to 463.13 and 736.88

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Solution

The third proportional to 463.13 and 736.88 is: 1,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 736.88 = 736.88 : x
  2. Step 2: Convert to fraction form
    463.13/736.88 = 736.88/x
  3. Step 3: Cross multiply
    463.13x = 736.88 × 736.88
  4. Step 4: Simplify right side
    463.13x = 542,984.77
  5. Step 5: Solve for x
    x = 542,984.77/463.13
  6. Step 6: Final answer
    x = 1,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.