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Finding the Third Proportional to 209,742 and 454,476

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Solution

The third proportional to 209,742 and 454,476 is: 984,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,742 : 454,476 = 454,476 : x
  2. Step 2: Convert to fraction form
    209,742/454,476 = 454,476/x
  3. Step 3: Cross multiply
    209,742x = 454,476 × 454,476
  4. Step 4: Simplify right side
    209,742x = 206,548,434,576
  5. Step 5: Solve for x
    x = 206,548,434,576/209,742
  6. Step 6: Final answer
    x = 984,773.84

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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.