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Finding the Third Proportional to 126,928.69 and 270,157.78

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Solution

The third proportional to 126,928.69 and 270,157.78 is: 575,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,928.69 : 270,157.78 = 270,157.78 : x
  2. Step 2: Convert to fraction form
    126,928.69/270,157.78 = 270,157.78/x
  3. Step 3: Cross multiply
    126,928.69x = 270,157.78 × 270,157.78
  4. Step 4: Simplify right side
    126,928.69x = 72,985,226,769.92
  5. Step 5: Solve for x
    x = 72,985,226,769.92/126,928.69
  6. Step 6: Final answer
    x = 575,009.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.