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Finding the Third Proportional to 126,458 and 272,620

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Solution

The third proportional to 126,458 and 272,620 is: 587,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,458 : 272,620 = 272,620 : x
  2. Step 2: Convert to fraction form
    126,458/272,620 = 272,620/x
  3. Step 3: Cross multiply
    126,458x = 272,620 × 272,620
  4. Step 4: Simplify right side
    126,458x = 74,321,664,400
  5. Step 5: Solve for x
    x = 74,321,664,400/126,458
  6. Step 6: Final answer
    x = 587,718.17

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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.