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Finding the Third Proportional to 74,378 and 113,311

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Solution

The third proportional to 74,378 and 113,311 is: 172,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378 : 113,311 = 113,311 : x
  2. Step 2: Convert to fraction form
    74,378/113,311 = 113,311/x
  3. Step 3: Cross multiply
    74,378x = 113,311 × 113,311
  4. Step 4: Simplify right side
    74,378x = 12,839,382,721
  5. Step 5: Solve for x
    x = 12,839,382,721/74,378
  6. Step 6: Final answer
    x = 172,623.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.