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Finding the Third Proportional to 109,218 and 239,850

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Solution

The third proportional to 109,218 and 239,850 is: 526,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218 : 239,850 = 239,850 : x
  2. Step 2: Convert to fraction form
    109,218/239,850 = 239,850/x
  3. Step 3: Cross multiply
    109,218x = 239,850 × 239,850
  4. Step 4: Simplify right side
    109,218x = 57,528,022,500
  5. Step 5: Solve for x
    x = 57,528,022,500/109,218
  6. Step 6: Final answer
    x = 526,726.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.