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Finding the Third Proportional to 126,684 and 272,808

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Solution

The third proportional to 126,684 and 272,808 is: 587,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,684 : 272,808 = 272,808 : x
  2. Step 2: Convert to fraction form
    126,684/272,808 = 272,808/x
  3. Step 3: Cross multiply
    126,684x = 272,808 × 272,808
  4. Step 4: Simplify right side
    126,684x = 74,424,204,864
  5. Step 5: Solve for x
    x = 74,424,204,864/126,684
  6. Step 6: Final answer
    x = 587,479.12

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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.