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Finding the Third Proportional to 231,348.38 and 315,172.13

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Solution

The third proportional to 231,348.38 and 315,172.13 is: 429,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,348.38 : 315,172.13 = 315,172.13 : x
  2. Step 2: Convert to fraction form
    231,348.38/315,172.13 = 315,172.13/x
  3. Step 3: Cross multiply
    231,348.38x = 315,172.13 × 315,172.13
  4. Step 4: Simplify right side
    231,348.38x = 99,333,468,377.02
  5. Step 5: Solve for x
    x = 99,333,468,377.02/231,348.38
  6. Step 6: Final answer
    x = 429,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.