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Finding the Third Proportional to 15,872 and 34,567

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Solution

The third proportional to 15,872 and 34,567 is: 75,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 34,567 = 34,567 : x
  2. Step 2: Convert to fraction form
    15,872/34,567 = 34,567/x
  3. Step 3: Cross multiply
    15,872x = 34,567 × 34,567
  4. Step 4: Simplify right side
    15,872x = 1,194,877,489
  5. Step 5: Solve for x
    x = 1,194,877,489/15,872
  6. Step 6: Final answer
    x = 75,282.10

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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.