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Finding the Third Proportional to 71,931 and 112,837

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Solution

The third proportional to 71,931 and 112,837 is: 177,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931 : 112,837 = 112,837 : x
  2. Step 2: Convert to fraction form
    71,931/112,837 = 112,837/x
  3. Step 3: Cross multiply
    71,931x = 112,837 × 112,837
  4. Step 4: Simplify right side
    71,931x = 12,732,188,569
  5. Step 5: Solve for x
    x = 12,732,188,569/71,931
  6. Step 6: Final answer
    x = 177,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.