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Finding the Third Proportional to 12,005 and 15,931

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Solution

The third proportional to 12,005 and 15,931 is: 21,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 15,931 = 15,931 : x
  2. Step 2: Convert to fraction form
    12,005/15,931 = 15,931/x
  3. Step 3: Cross multiply
    12,005x = 15,931 × 15,931
  4. Step 4: Simplify right side
    12,005x = 253,796,761
  5. Step 5: Solve for x
    x = 253,796,761/12,005
  6. Step 6: Final answer
    x = 21,140.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.