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Finding the Third Proportional to 71,077.50 and 145,845.56

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Solution

The third proportional to 71,077.50 and 145,845.56 is: 299,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.50 : 145,845.56 = 145,845.56 : x
  2. Step 2: Convert to fraction form
    71,077.50/145,845.56 = 145,845.56/x
  3. Step 3: Cross multiply
    71,077.50x = 145,845.56 × 145,845.56
  4. Step 4: Simplify right side
    71,077.50x = 21,270,928,100.94
  5. Step 5: Solve for x
    x = 21,270,928,100.94/71,077.50
  6. Step 6: Final answer
    x = 299,263.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.