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Finding the Third Proportional to 218,686.50 and 326,891.25

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Solution

The third proportional to 218,686.50 and 326,891.25 is: 488,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,686.50 : 326,891.25 = 326,891.25 : x
  2. Step 2: Convert to fraction form
    218,686.50/326,891.25 = 326,891.25/x
  3. Step 3: Cross multiply
    218,686.50x = 326,891.25 × 326,891.25
  4. Step 4: Simplify right side
    218,686.50x = 106,857,889,326.56
  5. Step 5: Solve for x
    x = 106,857,889,326.56/218,686.50
  6. Step 6: Final answer
    x = 488,635.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.