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Finding the Third Proportional to 66,853.69 and 146,829.38

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Solution

The third proportional to 66,853.69 and 146,829.38 is: 322,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,853.69 : 146,829.38 = 146,829.38 : x
  2. Step 2: Convert to fraction form
    66,853.69/146,829.38 = 146,829.38/x
  3. Step 3: Cross multiply
    66,853.69x = 146,829.38 × 146,829.38
  4. Step 4: Simplify right side
    66,853.69x = 21,558,865,362.89
  5. Step 5: Solve for x
    x = 21,558,865,362.89/66,853.69
  6. Step 6: Final answer
    x = 322,478.33

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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.