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Finding the Third Proportional to 218,726 and 454,911

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Solution

The third proportional to 218,726 and 454,911 is: 946,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,726 : 454,911 = 454,911 : x
  2. Step 2: Convert to fraction form
    218,726/454,911 = 454,911/x
  3. Step 3: Cross multiply
    218,726x = 454,911 × 454,911
  4. Step 4: Simplify right side
    218,726x = 206,944,017,921
  5. Step 5: Solve for x
    x = 206,944,017,921/218,726
  6. Step 6: Final answer
    x = 946,133.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.