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Finding the Third Proportional to 70,498 and 107,981

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Solution

The third proportional to 70,498 and 107,981 is: 165,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498 : 107,981 = 107,981 : x
  2. Step 2: Convert to fraction form
    70,498/107,981 = 107,981/x
  3. Step 3: Cross multiply
    70,498x = 107,981 × 107,981
  4. Step 4: Simplify right side
    70,498x = 11,659,896,361
  5. Step 5: Solve for x
    x = 11,659,896,361/70,498
  6. Step 6: Final answer
    x = 165,393.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.