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Finding the Third Proportional to 732.38 and 1,172.81

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Solution

The third proportional to 732.38 and 1,172.81 is: 1,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.38 : 1,172.81 = 1,172.81 : x
  2. Step 2: Convert to fraction form
    732.38/1,172.81 = 1,172.81/x
  3. Step 3: Cross multiply
    732.38x = 1,172.81 × 1,172.81
  4. Step 4: Simplify right side
    732.38x = 1,375,489.16
  5. Step 5: Solve for x
    x = 1,375,489.16/732.38
  6. Step 6: Final answer
    x = 1,878.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.