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Finding the Third Proportional to 109,682 and 239,438

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Solution

The third proportional to 109,682 and 239,438 is: 522,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,682 : 239,438 = 239,438 : x
  2. Step 2: Convert to fraction form
    109,682/239,438 = 239,438/x
  3. Step 3: Cross multiply
    109,682x = 239,438 × 239,438
  4. Step 4: Simplify right side
    109,682x = 57,330,555,844
  5. Step 5: Solve for x
    x = 57,330,555,844/109,682
  6. Step 6: Final answer
    x = 522,697.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.