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Finding the Third Proportional to 75,150 and 177,722

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Solution

The third proportional to 75,150 and 177,722 is: 420,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150 : 177,722 = 177,722 : x
  2. Step 2: Convert to fraction form
    75,150/177,722 = 177,722/x
  3. Step 3: Cross multiply
    75,150x = 177,722 × 177,722
  4. Step 4: Simplify right side
    75,150x = 31,585,109,284
  5. Step 5: Solve for x
    x = 31,585,109,284/75,150
  6. Step 6: Final answer
    x = 420,294.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.