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Finding the Third Proportional to 109,906.88 and 239,565.09

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Solution

The third proportional to 109,906.88 and 239,565.09 is: 522,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.88 : 239,565.09 = 239,565.09 : x
  2. Step 2: Convert to fraction form
    109,906.88/239,565.09 = 239,565.09/x
  3. Step 3: Cross multiply
    109,906.88x = 239,565.09 × 239,565.09
  4. Step 4: Simplify right side
    109,906.88x = 57,391,434,143.45
  5. Step 5: Solve for x
    x = 57,391,434,143.45/109,906.88
  6. Step 6: Final answer
    x = 522,182.39

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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.