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Finding the Third Proportional to 71,436 and 107,802

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Solution

The third proportional to 71,436 and 107,802 is: 162,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,436 : 107,802 = 107,802 : x
  2. Step 2: Convert to fraction form
    71,436/107,802 = 107,802/x
  3. Step 3: Cross multiply
    71,436x = 107,802 × 107,802
  4. Step 4: Simplify right side
    71,436x = 11,621,271,204
  5. Step 5: Solve for x
    x = 11,621,271,204/71,436
  6. Step 6: Final answer
    x = 162,680.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.