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Finding the Third Proportional to 71,991 and 157,083.75

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Solution

The third proportional to 71,991 and 157,083.75 is: 342,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,991 : 157,083.75 = 157,083.75 : x
  2. Step 2: Convert to fraction form
    71,991/157,083.75 = 157,083.75/x
  3. Step 3: Cross multiply
    71,991x = 157,083.75 × 157,083.75
  4. Step 4: Simplify right side
    71,991x = 24,675,304,514.06
  5. Step 5: Solve for x
    x = 24,675,304,514.06/71,991
  6. Step 6: Final answer
    x = 342,755.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.