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Finding the Third Proportional to 210,966 and 454,920

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Solution

The third proportional to 210,966 and 454,920 is: 980,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,966 : 454,920 = 454,920 : x
  2. Step 2: Convert to fraction form
    210,966/454,920 = 454,920/x
  3. Step 3: Cross multiply
    210,966x = 454,920 × 454,920
  4. Step 4: Simplify right side
    210,966x = 206,952,206,400
  5. Step 5: Solve for x
    x = 206,952,206,400/210,966
  6. Step 6: Final answer
    x = 980,974.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.