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Finding the Third Proportional to 218,287.13 and 326,083.50

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Solution

The third proportional to 218,287.13 and 326,083.50 is: 487,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,287.13 : 326,083.50 = 326,083.50 : x
  2. Step 2: Convert to fraction form
    218,287.13/326,083.50 = 326,083.50/x
  3. Step 3: Cross multiply
    218,287.13x = 326,083.50 × 326,083.50
  4. Step 4: Simplify right side
    218,287.13x = 106,330,448,972.25
  5. Step 5: Solve for x
    x = 106,330,448,972.25/218,287.13
  6. Step 6: Final answer
    x = 487,112.78

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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.