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Finding the Third Proportional to 75,446 and 163,871

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Solution

The third proportional to 75,446 and 163,871 is: 355,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446 : 163,871 = 163,871 : x
  2. Step 2: Convert to fraction form
    75,446/163,871 = 163,871/x
  3. Step 3: Cross multiply
    75,446x = 163,871 × 163,871
  4. Step 4: Simplify right side
    75,446x = 26,853,704,641
  5. Step 5: Solve for x
    x = 26,853,704,641/75,446
  6. Step 6: Final answer
    x = 355,932.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.