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Finding the Third Proportional to 126,730.50 and 177,178.50

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Solution

The third proportional to 126,730.50 and 177,178.50 is: 247,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,730.50 : 177,178.50 = 177,178.50 : x
  2. Step 2: Convert to fraction form
    126,730.50/177,178.50 = 177,178.50/x
  3. Step 3: Cross multiply
    126,730.50x = 177,178.50 × 177,178.50
  4. Step 4: Simplify right side
    126,730.50x = 31,392,220,862.25
  5. Step 5: Solve for x
    x = 31,392,220,862.25/126,730.50
  6. Step 6: Final answer
    x = 247,708.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.