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Finding the Third Proportional to 54,042 and 81,807

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Solution

The third proportional to 54,042 and 81,807 is: 123,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,042 : 81,807 = 81,807 : x
  2. Step 2: Convert to fraction form
    54,042/81,807 = 81,807/x
  3. Step 3: Cross multiply
    54,042x = 81,807 × 81,807
  4. Step 4: Simplify right side
    54,042x = 6,692,385,249
  5. Step 5: Solve for x
    x = 6,692,385,249/54,042
  6. Step 6: Final answer
    x = 123,836.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.