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Finding the Third Proportional to 218,870.86 and 338,016.80

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Solution

The third proportional to 218,870.86 and 338,016.80 is: 522,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,870.86 : 338,016.80 = 338,016.80 : x
  2. Step 2: Convert to fraction form
    218,870.86/338,016.80 = 338,016.80/x
  3. Step 3: Cross multiply
    218,870.86x = 338,016.80 × 338,016.80
  4. Step 4: Simplify right side
    218,870.86x = 114,255,354,969.64
  5. Step 5: Solve for x
    x = 114,255,354,969.64/218,870.86
  6. Step 6: Final answer
    x = 522,021.78

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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.