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Finding the Third Proportional to 218,686 and 326,890.50

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Solution

The third proportional to 218,686 and 326,890.50 is: 488,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,686 : 326,890.50 = 326,890.50 : x
  2. Step 2: Convert to fraction form
    218,686/326,890.50 = 326,890.50/x
  3. Step 3: Cross multiply
    218,686x = 326,890.50 × 326,890.50
  4. Step 4: Simplify right side
    218,686x = 106,857,398,990.25
  5. Step 5: Solve for x
    x = 106,857,398,990.25/218,686
  6. Step 6: Final answer
    x = 488,633.93

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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.