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Finding the Third Proportional to 209,400 and 457,908

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Solution

The third proportional to 209,400 and 457,908 is: 1,001,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,400 : 457,908 = 457,908 : x
  2. Step 2: Convert to fraction form
    209,400/457,908 = 457,908/x
  3. Step 3: Cross multiply
    209,400x = 457,908 × 457,908
  4. Step 4: Simplify right side
    209,400x = 209,679,736,464
  5. Step 5: Solve for x
    x = 209,679,736,464/209,400
  6. Step 6: Final answer
    x = 1,001,335.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.