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Finding the Third Proportional to 163,872 and 221,404

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Solution

The third proportional to 163,872 and 221,404 is: 299,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 221,404 = 221,404 : x
  2. Step 2: Convert to fraction form
    163,872/221,404 = 221,404/x
  3. Step 3: Cross multiply
    163,872x = 221,404 × 221,404
  4. Step 4: Simplify right side
    163,872x = 49,019,731,216
  5. Step 5: Solve for x
    x = 49,019,731,216/163,872
  6. Step 6: Final answer
    x = 299,134.27

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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.