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Finding the Third Proportional to 66,776.25 and 146,673.75

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Solution

The third proportional to 66,776.25 and 146,673.75 is: 322,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,776.25 : 146,673.75 = 146,673.75 : x
  2. Step 2: Convert to fraction form
    66,776.25/146,673.75 = 146,673.75/x
  3. Step 3: Cross multiply
    66,776.25x = 146,673.75 × 146,673.75
  4. Step 4: Simplify right side
    66,776.25x = 21,513,188,939.06
  5. Step 5: Solve for x
    x = 21,513,188,939.06/66,776.25
  6. Step 6: Final answer
    x = 322,168.27

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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.