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Finding the Third Proportional to 68,682 and 150,486

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Solution

The third proportional to 68,682 and 150,486 is: 329,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,682 : 150,486 = 150,486 : x
  2. Step 2: Convert to fraction form
    68,682/150,486 = 150,486/x
  3. Step 3: Cross multiply
    68,682x = 150,486 × 150,486
  4. Step 4: Simplify right side
    68,682x = 22,646,036,196
  5. Step 5: Solve for x
    x = 22,646,036,196/68,682
  6. Step 6: Final answer
    x = 329,723.02

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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.