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Finding the Third Proportional to 126,372 and 272,328

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Solution

The third proportional to 126,372 and 272,328 is: 586,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,372 : 272,328 = 272,328 : x
  2. Step 2: Convert to fraction form
    126,372/272,328 = 272,328/x
  3. Step 3: Cross multiply
    126,372x = 272,328 × 272,328
  4. Step 4: Simplify right side
    126,372x = 74,162,539,584
  5. Step 5: Solve for x
    x = 74,162,539,584/126,372
  6. Step 6: Final answer
    x = 586,858.95

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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.