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Finding the Third Proportional to 70,486 and 101,839

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Solution

The third proportional to 70,486 and 101,839 is: 147,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486 : 101,839 = 101,839 : x
  2. Step 2: Convert to fraction form
    70,486/101,839 = 101,839/x
  3. Step 3: Cross multiply
    70,486x = 101,839 × 101,839
  4. Step 4: Simplify right side
    70,486x = 10,371,181,921
  5. Step 5: Solve for x
    x = 10,371,181,921/70,486
  6. Step 6: Final answer
    x = 147,138.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.