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Finding the Third Proportional to 126,868.50 and 278,851.50

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Solution

The third proportional to 126,868.50 and 278,851.50 is: 612,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,868.50 : 278,851.50 = 278,851.50 : x
  2. Step 2: Convert to fraction form
    126,868.50/278,851.50 = 278,851.50/x
  3. Step 3: Cross multiply
    126,868.50x = 278,851.50 × 278,851.50
  4. Step 4: Simplify right side
    126,868.50x = 77,758,159,052.25
  5. Step 5: Solve for x
    x = 77,758,159,052.25/126,868.50
  6. Step 6: Final answer
    x = 612,903.59

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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.