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Finding the Third Proportional to 721.62 and 1,147.29

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Solution

The third proportional to 721.62 and 1,147.29 is: 1,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.62 : 1,147.29 = 1,147.29 : x
  2. Step 2: Convert to fraction form
    721.62/1,147.29 = 1,147.29/x
  3. Step 3: Cross multiply
    721.62x = 1,147.29 × 1,147.29
  4. Step 4: Simplify right side
    721.62x = 1,316,272.19
  5. Step 5: Solve for x
    x = 1,316,272.19/721.62
  6. Step 6: Final answer
    x = 1,824.06

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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.