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Finding the Third Proportional to 68,081.63 and 149,599.38

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Solution

The third proportional to 68,081.63 and 149,599.38 is: 328,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,081.63 : 149,599.38 = 149,599.38 : x
  2. Step 2: Convert to fraction form
    68,081.63/149,599.38 = 149,599.38/x
  3. Step 3: Cross multiply
    68,081.63x = 149,599.38 × 149,599.38
  4. Step 4: Simplify right side
    68,081.63x = 22,379,973,000.39
  5. Step 5: Solve for x
    x = 22,379,973,000.39/68,081.63
  6. Step 6: Final answer
    x = 328,722.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.