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Finding the Third Proportional to 75,143 and 177,374

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Solution

The third proportional to 75,143 and 177,374 is: 418,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143 : 177,374 = 177,374 : x
  2. Step 2: Convert to fraction form
    75,143/177,374 = 177,374/x
  3. Step 3: Cross multiply
    75,143x = 177,374 × 177,374
  4. Step 4: Simplify right side
    75,143x = 31,461,535,876
  5. Step 5: Solve for x
    x = 31,461,535,876/75,143
  6. Step 6: Final answer
    x = 418,688.84

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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.