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Finding the Third Proportional to 472.13 and 724.88

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Solution

The third proportional to 472.13 and 724.88 is: 1,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 724.88 = 724.88 : x
  2. Step 2: Convert to fraction form
    472.13/724.88 = 724.88/x
  3. Step 3: Cross multiply
    472.13x = 724.88 × 724.88
  4. Step 4: Simplify right side
    472.13x = 525,443.77
  5. Step 5: Solve for x
    x = 525,443.77/472.13
  6. Step 6: Final answer
    x = 1,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.