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Finding the Third Proportional to 207,690 and 454,686

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Solution

The third proportional to 207,690 and 454,686 is: 995,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,690 : 454,686 = 454,686 : x
  2. Step 2: Convert to fraction form
    207,690/454,686 = 454,686/x
  3. Step 3: Cross multiply
    207,690x = 454,686 × 454,686
  4. Step 4: Simplify right side
    207,690x = 206,739,358,596
  5. Step 5: Solve for x
    x = 206,739,358,596/207,690
  6. Step 6: Final answer
    x = 995,422.79

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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.