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Finding the Third Proportional to 126,600 and 272,400

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Solution

The third proportional to 126,600 and 272,400 is: 586,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,600 : 272,400 = 272,400 : x
  2. Step 2: Convert to fraction form
    126,600/272,400 = 272,400/x
  3. Step 3: Cross multiply
    126,600x = 272,400 × 272,400
  4. Step 4: Simplify right side
    126,600x = 74,201,760,000
  5. Step 5: Solve for x
    x = 74,201,760,000/126,600
  6. Step 6: Final answer
    x = 586,111.85

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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.