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Finding the Third Proportional to 54,983 and 85,757

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Solution

The third proportional to 54,983 and 85,757 is: 133,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,983 : 85,757 = 85,757 : x
  2. Step 2: Convert to fraction form
    54,983/85,757 = 85,757/x
  3. Step 3: Cross multiply
    54,983x = 85,757 × 85,757
  4. Step 4: Simplify right side
    54,983x = 7,354,263,049
  5. Step 5: Solve for x
    x = 7,354,263,049/54,983
  6. Step 6: Final answer
    x = 133,755.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.