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Finding the Third Proportional to 126,720 and 272,160

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Solution

The third proportional to 126,720 and 272,160 is: 584,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 272,160 = 272,160 : x
  2. Step 2: Convert to fraction form
    126,720/272,160 = 272,160/x
  3. Step 3: Cross multiply
    126,720x = 272,160 × 272,160
  4. Step 4: Simplify right side
    126,720x = 74,071,065,600
  5. Step 5: Solve for x
    x = 74,071,065,600/126,720
  6. Step 6: Final answer
    x = 584,525.45

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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.