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Finding the Third Proportional to 207,398 and 454,540

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Solution

The third proportional to 207,398 and 454,540 is: 996,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398 : 454,540 = 454,540 : x
  2. Step 2: Convert to fraction form
    207,398/454,540 = 454,540/x
  3. Step 3: Cross multiply
    207,398x = 454,540 × 454,540
  4. Step 4: Simplify right side
    207,398x = 206,606,611,600
  5. Step 5: Solve for x
    x = 206,606,611,600/207,398
  6. Step 6: Final answer
    x = 996,184.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.