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Finding the Third Proportional to 71,787 and 157,836

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Solution

The third proportional to 71,787 and 157,836 is: 347,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,787 : 157,836 = 157,836 : x
  2. Step 2: Convert to fraction form
    71,787/157,836 = 157,836/x
  3. Step 3: Cross multiply
    71,787x = 157,836 × 157,836
  4. Step 4: Simplify right side
    71,787x = 24,912,202,896
  5. Step 5: Solve for x
    x = 24,912,202,896/71,787
  6. Step 6: Final answer
    x = 347,029.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.