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Finding the Third Proportional to 207,156 and 454,920

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Solution

The third proportional to 207,156 and 454,920 is: 999,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,156 : 454,920 = 454,920 : x
  2. Step 2: Convert to fraction form
    207,156/454,920 = 454,920/x
  3. Step 3: Cross multiply
    207,156x = 454,920 × 454,920
  4. Step 4: Simplify right side
    207,156x = 206,952,206,400
  5. Step 5: Solve for x
    x = 206,952,206,400/207,156
  6. Step 6: Final answer
    x = 999,016.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.