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Finding the Third Proportional to 126,270 and 272,220

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Solution

The third proportional to 126,270 and 272,220 is: 586,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,270 : 272,220 = 272,220 : x
  2. Step 2: Convert to fraction form
    126,270/272,220 = 272,220/x
  3. Step 3: Cross multiply
    126,270x = 272,220 × 272,220
  4. Step 4: Simplify right side
    126,270x = 74,103,728,400
  5. Step 5: Solve for x
    x = 74,103,728,400/126,270
  6. Step 6: Final answer
    x = 586,867.26

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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.