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Finding the Third Proportional to 218,208.38 and 338,659.50

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Solution

The third proportional to 218,208.38 and 338,659.50 is: 525,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,208.38 : 338,659.50 = 338,659.50 : x
  2. Step 2: Convert to fraction form
    218,208.38/338,659.50 = 338,659.50/x
  3. Step 3: Cross multiply
    218,208.38x = 338,659.50 × 338,659.50
  4. Step 4: Simplify right side
    218,208.38x = 114,690,256,940.25
  5. Step 5: Solve for x
    x = 114,690,256,940.25/218,208.38
  6. Step 6: Final answer
    x = 525,599.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.