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Finding the Third Proportional to 71,244 and 95,627.25

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Solution

The third proportional to 71,244 and 95,627.25 is: 128,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244 : 95,627.25 = 95,627.25 : x
  2. Step 2: Convert to fraction form
    71,244/95,627.25 = 95,627.25/x
  3. Step 3: Cross multiply
    71,244x = 95,627.25 × 95,627.25
  4. Step 4: Simplify right side
    71,244x = 9,144,570,942.56
  5. Step 5: Solve for x
    x = 9,144,570,942.56/71,244
  6. Step 6: Final answer
    x = 128,355.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.