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Finding the Third Proportional to 109,723 and 239,539

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Solution

The third proportional to 109,723 and 239,539 is: 522,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,723 : 239,539 = 239,539 : x
  2. Step 2: Convert to fraction form
    109,723/239,539 = 239,539/x
  3. Step 3: Cross multiply
    109,723x = 239,539 × 239,539
  4. Step 4: Simplify right side
    109,723x = 57,378,932,521
  5. Step 5: Solve for x
    x = 57,378,932,521/109,723
  6. Step 6: Final answer
    x = 522,943.53

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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.