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Finding the Third Proportional to 231,734 and 310,377

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Solution

The third proportional to 231,734 and 310,377 is: 415,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,734 : 310,377 = 310,377 : x
  2. Step 2: Convert to fraction form
    231,734/310,377 = 310,377/x
  3. Step 3: Cross multiply
    231,734x = 310,377 × 310,377
  4. Step 4: Simplify right side
    231,734x = 96,333,882,129
  5. Step 5: Solve for x
    x = 96,333,882,129/231,734
  6. Step 6: Final answer
    x = 415,708.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.