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Finding the Third Proportional to 456.94 and 724.97

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Solution

The third proportional to 456.94 and 724.97 is: 1,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.94 : 724.97 = 724.97 : x
  2. Step 2: Convert to fraction form
    456.94/724.97 = 724.97/x
  3. Step 3: Cross multiply
    456.94x = 724.97 × 724.97
  4. Step 4: Simplify right side
    456.94x = 525,579.69
  5. Step 5: Solve for x
    x = 525,579.69/456.94
  6. Step 6: Final answer
    x = 1,150.22

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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.