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Finding the Third Proportional to 54,856 and 82,140

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Solution

The third proportional to 54,856 and 82,140 is: 122,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856 : 82,140 = 82,140 : x
  2. Step 2: Convert to fraction form
    54,856/82,140 = 82,140/x
  3. Step 3: Cross multiply
    54,856x = 82,140 × 82,140
  4. Step 4: Simplify right side
    54,856x = 6,746,979,600
  5. Step 5: Solve for x
    x = 6,746,979,600/54,856
  6. Step 6: Final answer
    x = 122,994.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.