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Finding the Third Proportional to 111,142 and 239,660

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Solution

The third proportional to 111,142 and 239,660 is: 516,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,142 : 239,660 = 239,660 : x
  2. Step 2: Convert to fraction form
    111,142/239,660 = 239,660/x
  3. Step 3: Cross multiply
    111,142x = 239,660 × 239,660
  4. Step 4: Simplify right side
    111,142x = 57,436,915,600
  5. Step 5: Solve for x
    x = 57,436,915,600/111,142
  6. Step 6: Final answer
    x = 516,788.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.