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Finding the Third Proportional to 54,378 and 76,578

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Solution

The third proportional to 54,378 and 76,578 is: 107,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378 : 76,578 = 76,578 : x
  2. Step 2: Convert to fraction form
    54,378/76,578 = 76,578/x
  3. Step 3: Cross multiply
    54,378x = 76,578 × 76,578
  4. Step 4: Simplify right side
    54,378x = 5,864,190,084
  5. Step 5: Solve for x
    x = 5,864,190,084/54,378
  6. Step 6: Final answer
    x = 107,841.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.