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Finding the Third Proportional to 54,090 and 84,986

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Solution

The third proportional to 54,090 and 84,986 is: 133,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,090 : 84,986 = 84,986 : x
  2. Step 2: Convert to fraction form
    54,090/84,986 = 84,986/x
  3. Step 3: Cross multiply
    54,090x = 84,986 × 84,986
  4. Step 4: Simplify right side
    54,090x = 7,222,620,196
  5. Step 5: Solve for x
    x = 7,222,620,196/54,090
  6. Step 6: Final answer
    x = 133,529.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.