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Finding the Third Proportional to 211,717 and 454,133

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Solution

The third proportional to 211,717 and 454,133 is: 974,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,717 : 454,133 = 454,133 : x
  2. Step 2: Convert to fraction form
    211,717/454,133 = 454,133/x
  3. Step 3: Cross multiply
    211,717x = 454,133 × 454,133
  4. Step 4: Simplify right side
    211,717x = 206,236,781,689
  5. Step 5: Solve for x
    x = 206,236,781,689/211,717
  6. Step 6: Final answer
    x = 974,115.36

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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.