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Finding the Third Proportional to 209,747 and 454,486

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Solution

The third proportional to 209,747 and 454,486 is: 984,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,747 : 454,486 = 454,486 : x
  2. Step 2: Convert to fraction form
    209,747/454,486 = 454,486/x
  3. Step 3: Cross multiply
    209,747x = 454,486 × 454,486
  4. Step 4: Simplify right side
    209,747x = 206,557,524,196
  5. Step 5: Solve for x
    x = 206,557,524,196/209,747
  6. Step 6: Final answer
    x = 984,793.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.