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Finding the Third Proportional to 66,162.50 and 140,859.25

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Solution

The third proportional to 66,162.50 and 140,859.25 is: 299,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,162.50 : 140,859.25 = 140,859.25 : x
  2. Step 2: Convert to fraction form
    66,162.50/140,859.25 = 140,859.25/x
  3. Step 3: Cross multiply
    66,162.50x = 140,859.25 × 140,859.25
  4. Step 4: Simplify right side
    66,162.50x = 19,841,328,310.56
  5. Step 5: Solve for x
    x = 19,841,328,310.56/66,162.50
  6. Step 6: Final answer
    x = 299,887.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.