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Finding the Third Proportional to 126,573.50 and 278,411

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Solution

The third proportional to 126,573.50 and 278,411 is: 612,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,573.50 : 278,411 = 278,411 : x
  2. Step 2: Convert to fraction form
    126,573.50/278,411 = 278,411/x
  3. Step 3: Cross multiply
    126,573.50x = 278,411 × 278,411
  4. Step 4: Simplify right side
    126,573.50x = 77,512,684,921
  5. Step 5: Solve for x
    x = 77,512,684,921/126,573.50
  6. Step 6: Final answer
    x = 612,392.68

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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.