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Finding the Third Proportional to 126,309 and 278,970

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Solution

The third proportional to 126,309 and 278,970 is: 616,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,309 : 278,970 = 278,970 : x
  2. Step 2: Convert to fraction form
    126,309/278,970 = 278,970/x
  3. Step 3: Cross multiply
    126,309x = 278,970 × 278,970
  4. Step 4: Simplify right side
    126,309x = 77,824,260,900
  5. Step 5: Solve for x
    x = 77,824,260,900/126,309
  6. Step 6: Final answer
    x = 616,141.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.