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Finding the Third Proportional to 131,689 and 310,743

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Solution

The third proportional to 131,689 and 310,743 is: 733,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,689 : 310,743 = 310,743 : x
  2. Step 2: Convert to fraction form
    131,689/310,743 = 310,743/x
  3. Step 3: Cross multiply
    131,689x = 310,743 × 310,743
  4. Step 4: Simplify right side
    131,689x = 96,561,212,049
  5. Step 5: Solve for x
    x = 96,561,212,049/131,689
  6. Step 6: Final answer
    x = 733,251.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.