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Finding the Third Proportional to 155,967 and 328,231

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Solution

The third proportional to 155,967 and 328,231 is: 690,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967 : 328,231 = 328,231 : x
  2. Step 2: Convert to fraction form
    155,967/328,231 = 328,231/x
  3. Step 3: Cross multiply
    155,967x = 328,231 × 328,231
  4. Step 4: Simplify right side
    155,967x = 107,735,589,361
  5. Step 5: Solve for x
    x = 107,735,589,361/155,967
  6. Step 6: Final answer
    x = 690,758.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.