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Finding the Third Proportional to 158,515 and 330,125

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Solution

The third proportional to 158,515 and 330,125 is: 687,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,515 : 330,125 = 330,125 : x
  2. Step 2: Convert to fraction form
    158,515/330,125 = 330,125/x
  3. Step 3: Cross multiply
    158,515x = 330,125 × 330,125
  4. Step 4: Simplify right side
    158,515x = 108,982,515,625
  5. Step 5: Solve for x
    x = 108,982,515,625/158,515
  6. Step 6: Final answer
    x = 687,521.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.