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Finding the Third Proportional to 54,378 and 76,575

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Solution

The third proportional to 54,378 and 76,575 is: 107,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378 : 76,575 = 76,575 : x
  2. Step 2: Convert to fraction form
    54,378/76,575 = 76,575/x
  3. Step 3: Cross multiply
    54,378x = 76,575 × 76,575
  4. Step 4: Simplify right side
    54,378x = 5,863,730,625
  5. Step 5: Solve for x
    x = 5,863,730,625/54,378
  6. Step 6: Final answer
    x = 107,832.77

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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.