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Finding the Third Proportional to 147,722 and 356,135

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Solution

The third proportional to 147,722 and 356,135 is: 858,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,722 : 356,135 = 356,135 : x
  2. Step 2: Convert to fraction form
    147,722/356,135 = 356,135/x
  3. Step 3: Cross multiply
    147,722x = 356,135 × 356,135
  4. Step 4: Simplify right side
    147,722x = 126,832,138,225
  5. Step 5: Solve for x
    x = 126,832,138,225/147,722
  6. Step 6: Final answer
    x = 858,586.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.