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Finding the Third Proportional to 126,202 and 278,008

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Solution

The third proportional to 126,202 and 278,008 is: 612,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,202 : 278,008 = 278,008 : x
  2. Step 2: Convert to fraction form
    126,202/278,008 = 278,008/x
  3. Step 3: Cross multiply
    126,202x = 278,008 × 278,008
  4. Step 4: Simplify right side
    126,202x = 77,288,448,064
  5. Step 5: Solve for x
    x = 77,288,448,064/126,202
  6. Step 6: Final answer
    x = 612,418.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.