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Finding the Third Proportional to 218,284.88 and 326,080.69

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Solution

The third proportional to 218,284.88 and 326,080.69 is: 487,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,284.88 : 326,080.69 = 326,080.69 : x
  2. Step 2: Convert to fraction form
    218,284.88/326,080.69 = 326,080.69/x
  3. Step 3: Cross multiply
    218,284.88x = 326,080.69 × 326,080.69
  4. Step 4: Simplify right side
    218,284.88x = 106,328,614,760.47
  5. Step 5: Solve for x
    x = 106,328,614,760.47/218,284.88
  6. Step 6: Final answer
    x = 487,109.40

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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.