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Finding the Third Proportional to 68,990 and 149,054

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Solution

The third proportional to 68,990 and 149,054 is: 322,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,990 : 149,054 = 149,054 : x
  2. Step 2: Convert to fraction form
    68,990/149,054 = 149,054/x
  3. Step 3: Cross multiply
    68,990x = 149,054 × 149,054
  4. Step 4: Simplify right side
    68,990x = 22,217,094,916
  5. Step 5: Solve for x
    x = 22,217,094,916/68,990
  6. Step 6: Final answer
    x = 322,033.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.