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Finding the Third Proportional to 238,052 and 315,930

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Solution

The third proportional to 238,052 and 315,930 is: 419,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,052 : 315,930 = 315,930 : x
  2. Step 2: Convert to fraction form
    238,052/315,930 = 315,930/x
  3. Step 3: Cross multiply
    238,052x = 315,930 × 315,930
  4. Step 4: Simplify right side
    238,052x = 99,811,764,900
  5. Step 5: Solve for x
    x = 99,811,764,900/238,052
  6. Step 6: Final answer
    x = 419,285.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.