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Finding the Third Proportional to 54,470 and 77,079

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Solution

The third proportional to 54,470 and 77,079 is: 109,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,470 : 77,079 = 77,079 : x
  2. Step 2: Convert to fraction form
    54,470/77,079 = 77,079/x
  3. Step 3: Cross multiply
    54,470x = 77,079 × 77,079
  4. Step 4: Simplify right side
    54,470x = 5,941,172,241
  5. Step 5: Solve for x
    x = 5,941,172,241/54,470
  6. Step 6: Final answer
    x = 109,072.37

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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.