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Finding the Third Proportional to 73,872 and 177,291

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Solution

The third proportional to 73,872 and 177,291 is: 425,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872 : 177,291 = 177,291 : x
  2. Step 2: Convert to fraction form
    73,872/177,291 = 177,291/x
  3. Step 3: Cross multiply
    73,872x = 177,291 × 177,291
  4. Step 4: Simplify right side
    73,872x = 31,432,098,681
  5. Step 5: Solve for x
    x = 31,432,098,681/73,872
  6. Step 6: Final answer
    x = 425,494.08

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.