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Finding the Third Proportional to 78,221 and 160,087

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Solution

The third proportional to 78,221 and 160,087 is: 327,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221 : 160,087 = 160,087 : x
  2. Step 2: Convert to fraction form
    78,221/160,087 = 160,087/x
  3. Step 3: Cross multiply
    78,221x = 160,087 × 160,087
  4. Step 4: Simplify right side
    78,221x = 25,627,847,569
  5. Step 5: Solve for x
    x = 25,627,847,569/78,221
  6. Step 6: Final answer
    x = 327,633.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.