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Finding the Third Proportional to 126,851.06 and 278,812.13

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Solution

The third proportional to 126,851.06 and 278,812.13 is: 612,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,851.06 : 278,812.13 = 278,812.13 : x
  2. Step 2: Convert to fraction form
    126,851.06/278,812.13 = 278,812.13/x
  3. Step 3: Cross multiply
    126,851.06x = 278,812.13 × 278,812.13
  4. Step 4: Simplify right side
    126,851.06x = 77,736,201,047.02
  5. Step 5: Solve for x
    x = 77,736,201,047.02/126,851.06
  6. Step 6: Final answer
    x = 612,814.74

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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.