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Finding the Third Proportional to 206,878 and 446,413

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Solution

The third proportional to 206,878 and 446,413 is: 963,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878 : 446,413 = 446,413 : x
  2. Step 2: Convert to fraction form
    206,878/446,413 = 446,413/x
  3. Step 3: Cross multiply
    206,878x = 446,413 × 446,413
  4. Step 4: Simplify right side
    206,878x = 199,284,566,569
  5. Step 5: Solve for x
    x = 199,284,566,569/206,878
  6. Step 6: Final answer
    x = 963,295.11

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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.