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Finding the Third Proportional to 218,650 and 328,649

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Solution

The third proportional to 218,650 and 328,649 is: 493,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,650 : 328,649 = 328,649 : x
  2. Step 2: Convert to fraction form
    218,650/328,649 = 328,649/x
  3. Step 3: Cross multiply
    218,650x = 328,649 × 328,649
  4. Step 4: Simplify right side
    218,650x = 108,010,165,201
  5. Step 5: Solve for x
    x = 108,010,165,201/218,650
  6. Step 6: Final answer
    x = 493,986.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.