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Finding the Third Proportional to 75,144 and 177,707

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Solution

The third proportional to 75,144 and 177,707 is: 420,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144 : 177,707 = 177,707 : x
  2. Step 2: Convert to fraction form
    75,144/177,707 = 177,707/x
  3. Step 3: Cross multiply
    75,144x = 177,707 × 177,707
  4. Step 4: Simplify right side
    75,144x = 31,579,777,849
  5. Step 5: Solve for x
    x = 31,579,777,849/75,144
  6. Step 6: Final answer
    x = 420,256.81

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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.