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Finding the Third Proportional to 54,305 and 84,085

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Solution

The third proportional to 54,305 and 84,085 is: 130,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,305 : 84,085 = 84,085 : x
  2. Step 2: Convert to fraction form
    54,305/84,085 = 84,085/x
  3. Step 3: Cross multiply
    54,305x = 84,085 × 84,085
  4. Step 4: Simplify right side
    54,305x = 7,070,287,225
  5. Step 5: Solve for x
    x = 7,070,287,225/54,305
  6. Step 6: Final answer
    x = 130,195.88

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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.