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Finding the Third Proportional to 125,256.50 and 220,759

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Solution

The third proportional to 125,256.50 and 220,759 is: 389,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,256.50 : 220,759 = 220,759 : x
  2. Step 2: Convert to fraction form
    125,256.50/220,759 = 220,759/x
  3. Step 3: Cross multiply
    125,256.50x = 220,759 × 220,759
  4. Step 4: Simplify right side
    125,256.50x = 48,734,536,081
  5. Step 5: Solve for x
    x = 48,734,536,081/125,256.50
  6. Step 6: Final answer
    x = 389,077.90

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.