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Finding the Third Proportional to 126,760 and 272,240

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Solution

The third proportional to 126,760 and 272,240 is: 584,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,760 : 272,240 = 272,240 : x
  2. Step 2: Convert to fraction form
    126,760/272,240 = 272,240/x
  3. Step 3: Cross multiply
    126,760x = 272,240 × 272,240
  4. Step 4: Simplify right side
    126,760x = 74,114,617,600
  5. Step 5: Solve for x
    x = 74,114,617,600/126,760
  6. Step 6: Final answer
    x = 584,684.58

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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.