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Finding the Third Proportional to 71,081.50 and 150,910

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Solution

The third proportional to 71,081.50 and 150,910 is: 320,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.50 : 150,910 = 150,910 : x
  2. Step 2: Convert to fraction form
    71,081.50/150,910 = 150,910/x
  3. Step 3: Cross multiply
    71,081.50x = 150,910 × 150,910
  4. Step 4: Simplify right side
    71,081.50x = 22,773,828,100
  5. Step 5: Solve for x
    x = 22,773,828,100/71,081.50
  6. Step 6: Final answer
    x = 320,390.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.