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Finding the Third Proportional to 69,680.25 and 149,198.63

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Solution

The third proportional to 69,680.25 and 149,198.63 is: 319,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,680.25 : 149,198.63 = 149,198.63 : x
  2. Step 2: Convert to fraction form
    69,680.25/149,198.63 = 149,198.63/x
  3. Step 3: Cross multiply
    69,680.25x = 149,198.63 × 149,198.63
  4. Step 4: Simplify right side
    69,680.25x = 22,260,229,701.89
  5. Step 5: Solve for x
    x = 22,260,229,701.89/69,680.25
  6. Step 6: Final answer
    x = 319,462.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.