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Finding the Third Proportional to 82,557 and 180,879

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Solution

The third proportional to 82,557 and 180,879 is: 396,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,557 : 180,879 = 180,879 : x
  2. Step 2: Convert to fraction form
    82,557/180,879 = 180,879/x
  3. Step 3: Cross multiply
    82,557x = 180,879 × 180,879
  4. Step 4: Simplify right side
    82,557x = 32,717,212,641
  5. Step 5: Solve for x
    x = 32,717,212,641/82,557
  6. Step 6: Final answer
    x = 396,298.47

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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.