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Finding the Third Proportional to 218,764.69 and 337,480.88

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Solution

The third proportional to 218,764.69 and 337,480.88 is: 520,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,764.69 : 337,480.88 = 337,480.88 : x
  2. Step 2: Convert to fraction form
    218,764.69/337,480.88 = 337,480.88/x
  3. Step 3: Cross multiply
    218,764.69x = 337,480.88 × 337,480.88
  4. Step 4: Simplify right side
    218,764.69x = 113,893,340,990.77
  5. Step 5: Solve for x
    x = 113,893,340,990.77/218,764.69
  6. Step 6: Final answer
    x = 520,620.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.