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Finding the Third Proportional to 66,855.84 and 146,833.69

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Solution

The third proportional to 66,855.84 and 146,833.69 is: 322,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,855.84 : 146,833.69 = 146,833.69 : x
  2. Step 2: Convert to fraction form
    66,855.84/146,833.69 = 146,833.69/x
  3. Step 3: Cross multiply
    66,855.84x = 146,833.69 × 146,833.69
  4. Step 4: Simplify right side
    66,855.84x = 21,560,131,784.85
  5. Step 5: Solve for x
    x = 21,560,131,784.85/66,855.84
  6. Step 6: Final answer
    x = 322,486.87

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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.