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Finding the Third Proportional to 54,411 and 84,077

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Solution

The third proportional to 54,411 and 84,077 is: 129,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411 : 84,077 = 84,077 : x
  2. Step 2: Convert to fraction form
    54,411/84,077 = 84,077/x
  3. Step 3: Cross multiply
    54,411x = 84,077 × 84,077
  4. Step 4: Simplify right side
    54,411x = 7,068,941,929
  5. Step 5: Solve for x
    x = 7,068,941,929/54,411
  6. Step 6: Final answer
    x = 129,917.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.