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Finding the Third Proportional to 218,230 and 469,661

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Solution

The third proportional to 218,230 and 469,661 is: 1,010,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,230 : 469,661 = 469,661 : x
  2. Step 2: Convert to fraction form
    218,230/469,661 = 469,661/x
  3. Step 3: Cross multiply
    218,230x = 469,661 × 469,661
  4. Step 4: Simplify right side
    218,230x = 220,581,454,921
  5. Step 5: Solve for x
    x = 220,581,454,921/218,230
  6. Step 6: Final answer
    x = 1,010,775.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.