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Finding the Third Proportional to 218,268 and 469,908

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Solution

The third proportional to 218,268 and 469,908 is: 1,011,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,268 : 469,908 = 469,908 : x
  2. Step 2: Convert to fraction form
    218,268/469,908 = 469,908/x
  3. Step 3: Cross multiply
    218,268x = 469,908 × 469,908
  4. Step 4: Simplify right side
    218,268x = 220,813,528,464
  5. Step 5: Solve for x
    x = 220,813,528,464/218,268
  6. Step 6: Final answer
    x = 1,011,662.40

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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.