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Finding the Third Proportional to 163,878 and 221,413

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Solution

The third proportional to 163,878 and 221,413 is: 299,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,878 : 221,413 = 221,413 : x
  2. Step 2: Convert to fraction form
    163,878/221,413 = 221,413/x
  3. Step 3: Cross multiply
    163,878x = 221,413 × 221,413
  4. Step 4: Simplify right side
    163,878x = 49,023,716,569
  5. Step 5: Solve for x
    x = 49,023,716,569/163,878
  6. Step 6: Final answer
    x = 299,147.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.