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Finding the Third Proportional to 207,680 and 454,672

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Solution

The third proportional to 207,680 and 454,672 is: 995,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,680 : 454,672 = 454,672 : x
  2. Step 2: Convert to fraction form
    207,680/454,672 = 454,672/x
  3. Step 3: Cross multiply
    207,680x = 454,672 × 454,672
  4. Step 4: Simplify right side
    207,680x = 206,726,627,584
  5. Step 5: Solve for x
    x = 206,726,627,584/207,680
  6. Step 6: Final answer
    x = 995,409.42

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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.