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Finding the Third Proportional to 54,642 and 78,971

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Solution

The third proportional to 54,642 and 78,971 is: 114,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642 : 78,971 = 78,971 : x
  2. Step 2: Convert to fraction form
    54,642/78,971 = 78,971/x
  3. Step 3: Cross multiply
    54,642x = 78,971 × 78,971
  4. Step 4: Simplify right side
    54,642x = 6,236,418,841
  5. Step 5: Solve for x
    x = 6,236,418,841/54,642
  6. Step 6: Final answer
    x = 114,132.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.