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Finding the Third Proportional to 109,755 and 236,439

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Solution

The third proportional to 109,755 and 236,439 is: 509,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755 : 236,439 = 236,439 : x
  2. Step 2: Convert to fraction form
    109,755/236,439 = 236,439/x
  3. Step 3: Cross multiply
    109,755x = 236,439 × 236,439
  4. Step 4: Simplify right side
    109,755x = 55,903,400,721
  5. Step 5: Solve for x
    x = 55,903,400,721/109,755
  6. Step 6: Final answer
    x = 509,347.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.