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Finding the Third Proportional to 126,240 and 272,160

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Solution

The third proportional to 126,240 and 272,160 is: 586,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,240 : 272,160 = 272,160 : x
  2. Step 2: Convert to fraction form
    126,240/272,160 = 272,160/x
  3. Step 3: Cross multiply
    126,240x = 272,160 × 272,160
  4. Step 4: Simplify right side
    126,240x = 74,071,065,600
  5. Step 5: Solve for x
    x = 74,071,065,600/126,240
  6. Step 6: Final answer
    x = 586,747.98

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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.