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Finding the Third Proportional to 126,746 and 278,278

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Solution

The third proportional to 126,746 and 278,278 is: 610,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,746 : 278,278 = 278,278 : x
  2. Step 2: Convert to fraction form
    126,746/278,278 = 278,278/x
  3. Step 3: Cross multiply
    126,746x = 278,278 × 278,278
  4. Step 4: Simplify right side
    126,746x = 77,438,645,284
  5. Step 5: Solve for x
    x = 77,438,645,284/126,746
  6. Step 6: Final answer
    x = 610,975.06

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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.