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Finding the Third Proportional to 54,378 and 119,791

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Solution

The third proportional to 54,378 and 119,791 is: 263,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378 : 119,791 = 119,791 : x
  2. Step 2: Convert to fraction form
    54,378/119,791 = 119,791/x
  3. Step 3: Cross multiply
    54,378x = 119,791 × 119,791
  4. Step 4: Simplify right side
    54,378x = 14,349,883,681
  5. Step 5: Solve for x
    x = 14,349,883,681/54,378
  6. Step 6: Final answer
    x = 263,891.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.