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Finding the Third Proportional to 126,472.50 and 279,726.75

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Solution

The third proportional to 126,472.50 and 279,726.75 is: 618,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,472.50 : 279,726.75 = 279,726.75 : x
  2. Step 2: Convert to fraction form
    126,472.50/279,726.75 = 279,726.75/x
  3. Step 3: Cross multiply
    126,472.50x = 279,726.75 × 279,726.75
  4. Step 4: Simplify right side
    126,472.50x = 78,247,054,665.56
  5. Step 5: Solve for x
    x = 78,247,054,665.56/126,472.50
  6. Step 6: Final answer
    x = 618,688.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.