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Finding the Third Proportional to 67,864 and 147,775

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Solution

The third proportional to 67,864 and 147,775 is: 321,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,864 : 147,775 = 147,775 : x
  2. Step 2: Convert to fraction form
    67,864/147,775 = 147,775/x
  3. Step 3: Cross multiply
    67,864x = 147,775 × 147,775
  4. Step 4: Simplify right side
    67,864x = 21,837,450,625
  5. Step 5: Solve for x
    x = 21,837,450,625/67,864
  6. Step 6: Final answer
    x = 321,782.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.