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Finding the Third Proportional to 54,471 and 77,080

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Solution

The third proportional to 54,471 and 77,080 is: 109,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471 : 77,080 = 77,080 : x
  2. Step 2: Convert to fraction form
    54,471/77,080 = 77,080/x
  3. Step 3: Cross multiply
    54,471x = 77,080 × 77,080
  4. Step 4: Simplify right side
    54,471x = 5,941,326,400
  5. Step 5: Solve for x
    x = 5,941,326,400/54,471
  6. Step 6: Final answer
    x = 109,073.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.