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Finding the Third Proportional to 72,156 and 159,879

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Solution

The third proportional to 72,156 and 159,879 is: 354,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,156 : 159,879 = 159,879 : x
  2. Step 2: Convert to fraction form
    72,156/159,879 = 159,879/x
  3. Step 3: Cross multiply
    72,156x = 159,879 × 159,879
  4. Step 4: Simplify right side
    72,156x = 25,561,294,641
  5. Step 5: Solve for x
    x = 25,561,294,641/72,156
  6. Step 6: Final answer
    x = 354,250.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.