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Finding the Third Proportional to 77,671 and 169,879

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Solution

The third proportional to 77,671 and 169,879 is: 371,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671 : 169,879 = 169,879 : x
  2. Step 2: Convert to fraction form
    77,671/169,879 = 169,879/x
  3. Step 3: Cross multiply
    77,671x = 169,879 × 169,879
  4. Step 4: Simplify right side
    77,671x = 28,858,874,641
  5. Step 5: Solve for x
    x = 28,858,874,641/77,671
  6. Step 6: Final answer
    x = 371,552.76

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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.