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Finding the Third Proportional to 15,731 and 34,231

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Solution

The third proportional to 15,731 and 34,231 is: 74,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731 : 34,231 = 34,231 : x
  2. Step 2: Convert to fraction form
    15,731/34,231 = 34,231/x
  3. Step 3: Cross multiply
    15,731x = 34,231 × 34,231
  4. Step 4: Simplify right side
    15,731x = 1,171,761,361
  5. Step 5: Solve for x
    x = 1,171,761,361/15,731
  6. Step 6: Final answer
    x = 74,487.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.