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Finding the Third Proportional to 54,418.50 and 84,090

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Solution

The third proportional to 54,418.50 and 84,090 is: 129,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,418.50 : 84,090 = 84,090 : x
  2. Step 2: Convert to fraction form
    54,418.50/84,090 = 84,090/x
  3. Step 3: Cross multiply
    54,418.50x = 84,090 × 84,090
  4. Step 4: Simplify right side
    54,418.50x = 7,071,128,100
  5. Step 5: Solve for x
    x = 7,071,128,100/54,418.50
  6. Step 6: Final answer
    x = 129,939.78

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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.