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Finding the Third Proportional to 75,038 and 177,131

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Solution

The third proportional to 75,038 and 177,131 is: 418,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038 : 177,131 = 177,131 : x
  2. Step 2: Convert to fraction form
    75,038/177,131 = 177,131/x
  3. Step 3: Cross multiply
    75,038x = 177,131 × 177,131
  4. Step 4: Simplify right side
    75,038x = 31,375,391,161
  5. Step 5: Solve for x
    x = 31,375,391,161/75,038
  6. Step 6: Final answer
    x = 418,126.70

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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.