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Finding the Third Proportional to 41,110.50 and 88,459.50

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Solution

The third proportional to 41,110.50 and 88,459.50 is: 190,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,110.50 : 88,459.50 = 88,459.50 : x
  2. Step 2: Convert to fraction form
    41,110.50/88,459.50 = 88,459.50/x
  3. Step 3: Cross multiply
    41,110.50x = 88,459.50 × 88,459.50
  4. Step 4: Simplify right side
    41,110.50x = 7,825,083,140.25
  5. Step 5: Solve for x
    x = 7,825,083,140.25/41,110.50
  6. Step 6: Final answer
    x = 190,342.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.