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Finding the Third Proportional to 109,323 and 235,872

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Solution

The third proportional to 109,323 and 235,872 is: 508,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,323 : 235,872 = 235,872 : x
  2. Step 2: Convert to fraction form
    109,323/235,872 = 235,872/x
  3. Step 3: Cross multiply
    109,323x = 235,872 × 235,872
  4. Step 4: Simplify right side
    109,323x = 55,635,600,384
  5. Step 5: Solve for x
    x = 55,635,600,384/109,323
  6. Step 6: Final answer
    x = 508,910.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.