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Finding the Third Proportional to 66,861.75 and 146,899.50

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Solution

The third proportional to 66,861.75 and 146,899.50 is: 322,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,861.75 : 146,899.50 = 146,899.50 : x
  2. Step 2: Convert to fraction form
    66,861.75/146,899.50 = 146,899.50/x
  3. Step 3: Cross multiply
    66,861.75x = 146,899.50 × 146,899.50
  4. Step 4: Simplify right side
    66,861.75x = 21,579,463,100.25
  5. Step 5: Solve for x
    x = 21,579,463,100.25/66,861.75
  6. Step 6: Final answer
    x = 322,747.51

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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.