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Finding the Third Proportional to 67,872 and 112,471

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Solution

The third proportional to 67,872 and 112,471 is: 186,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872 : 112,471 = 112,471 : x
  2. Step 2: Convert to fraction form
    67,872/112,471 = 112,471/x
  3. Step 3: Cross multiply
    67,872x = 112,471 × 112,471
  4. Step 4: Simplify right side
    67,872x = 12,649,725,841
  5. Step 5: Solve for x
    x = 12,649,725,841/67,872
  6. Step 6: Final answer
    x = 186,376.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.