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Finding the Third Proportional to 15,862 and 22,280

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Solution

The third proportional to 15,862 and 22,280 is: 31,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862 : 22,280 = 22,280 : x
  2. Step 2: Convert to fraction form
    15,862/22,280 = 22,280/x
  3. Step 3: Cross multiply
    15,862x = 22,280 × 22,280
  4. Step 4: Simplify right side
    15,862x = 496,398,400
  5. Step 5: Solve for x
    x = 496,398,400/15,862
  6. Step 6: Final answer
    x = 31,294.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.