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Finding the Third Proportional to 70,508 and 109,137

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Solution

The third proportional to 70,508 and 109,137 is: 168,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508 : 109,137 = 109,137 : x
  2. Step 2: Convert to fraction form
    70,508/109,137 = 109,137/x
  3. Step 3: Cross multiply
    70,508x = 109,137 × 109,137
  4. Step 4: Simplify right side
    70,508x = 11,910,884,769
  5. Step 5: Solve for x
    x = 11,910,884,769/70,508
  6. Step 6: Final answer
    x = 168,929.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.