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Finding the Third Proportional to 102,390 and 158,193

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Solution

The third proportional to 102,390 and 158,193 is: 244,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390 : 158,193 = 158,193 : x
  2. Step 2: Convert to fraction form
    102,390/158,193 = 158,193/x
  3. Step 3: Cross multiply
    102,390x = 158,193 × 158,193
  4. Step 4: Simplify right side
    102,390x = 25,025,025,249
  5. Step 5: Solve for x
    x = 25,025,025,249/102,390
  6. Step 6: Final answer
    x = 244,408.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.