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Finding the Third Proportional to 198,246 and 415,878

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Solution

The third proportional to 198,246 and 415,878 is: 872,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,246 : 415,878 = 415,878 : x
  2. Step 2: Convert to fraction form
    198,246/415,878 = 415,878/x
  3. Step 3: Cross multiply
    198,246x = 415,878 × 415,878
  4. Step 4: Simplify right side
    198,246x = 172,954,510,884
  5. Step 5: Solve for x
    x = 172,954,510,884/198,246
  6. Step 6: Final answer
    x = 872,423.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.