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Finding the Third Proportional to 72,805 and 159,079

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Solution

The third proportional to 72,805 and 159,079 is: 347,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805 : 159,079 = 159,079 : x
  2. Step 2: Convert to fraction form
    72,805/159,079 = 159,079/x
  3. Step 3: Cross multiply
    72,805x = 159,079 × 159,079
  4. Step 4: Simplify right side
    72,805x = 25,306,128,241
  5. Step 5: Solve for x
    x = 25,306,128,241/72,805
  6. Step 6: Final answer
    x = 347,587.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.