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Finding the Third Proportional to 724.36 and 1,147.92

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Solution

The third proportional to 724.36 and 1,147.92 is: 1,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 1,147.92 = 1,147.92 : x
  2. Step 2: Convert to fraction form
    724.36/1,147.92 = 1,147.92/x
  3. Step 3: Cross multiply
    724.36x = 1,147.92 × 1,147.92
  4. Step 4: Simplify right side
    724.36x = 1,317,724.63
  5. Step 5: Solve for x
    x = 1,317,724.63/724.36
  6. Step 6: Final answer
    x = 1,819.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.