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Finding the Third Proportional to 109,909.13 and 239,569.88

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Solution

The third proportional to 109,909.13 and 239,569.88 is: 522,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.13 : 239,569.88 = 239,569.88 : x
  2. Step 2: Convert to fraction form
    109,909.13/239,569.88 = 239,569.88/x
  3. Step 3: Cross multiply
    109,909.13x = 239,569.88 × 239,569.88
  4. Step 4: Simplify right side
    109,909.13x = 57,393,725,007.52
  5. Step 5: Solve for x
    x = 57,393,725,007.52/109,909.13
  6. Step 6: Final answer
    x = 522,192.54

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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.