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Finding the Third Proportional to 163,867 and 221,397

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Solution

The third proportional to 163,867 and 221,397 is: 299,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,867 : 221,397 = 221,397 : x
  2. Step 2: Convert to fraction form
    163,867/221,397 = 221,397/x
  3. Step 3: Cross multiply
    163,867x = 221,397 × 221,397
  4. Step 4: Simplify right side
    163,867x = 49,016,631,609
  5. Step 5: Solve for x
    x = 49,016,631,609/163,867
  6. Step 6: Final answer
    x = 299,124.48

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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.