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Finding the Third Proportional to 143,753 and 315,186

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Solution

The third proportional to 143,753 and 315,186 is: 691,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,753 : 315,186 = 315,186 : x
  2. Step 2: Convert to fraction form
    143,753/315,186 = 315,186/x
  3. Step 3: Cross multiply
    143,753x = 315,186 × 315,186
  4. Step 4: Simplify right side
    143,753x = 99,342,214,596
  5. Step 5: Solve for x
    x = 99,342,214,596/143,753
  6. Step 6: Final answer
    x = 691,061.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.