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Finding the Third Proportional to 163,933 and 221,471

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Solution

The third proportional to 163,933 and 221,471 is: 299,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,933 : 221,471 = 221,471 : x
  2. Step 2: Convert to fraction form
    163,933/221,471 = 221,471/x
  3. Step 3: Cross multiply
    163,933x = 221,471 × 221,471
  4. Step 4: Simplify right side
    163,933x = 49,049,403,841
  5. Step 5: Solve for x
    x = 49,049,403,841/163,933
  6. Step 6: Final answer
    x = 299,203.97

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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.