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Finding the Third Proportional to 78,071 and 167,983

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Solution

The third proportional to 78,071 and 167,983 is: 361,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071 : 167,983 = 167,983 : x
  2. Step 2: Convert to fraction form
    78,071/167,983 = 167,983/x
  3. Step 3: Cross multiply
    78,071x = 167,983 × 167,983
  4. Step 4: Simplify right side
    78,071x = 28,218,288,289
  5. Step 5: Solve for x
    x = 28,218,288,289/78,071
  6. Step 6: Final answer
    x = 361,443.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.