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Finding the Third Proportional to 71,077.50 and 140,150.25

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Solution

The third proportional to 71,077.50 and 140,150.25 is: 276,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.50 : 140,150.25 = 140,150.25 : x
  2. Step 2: Convert to fraction form
    71,077.50/140,150.25 = 140,150.25/x
  3. Step 3: Cross multiply
    71,077.50x = 140,150.25 × 140,150.25
  4. Step 4: Simplify right side
    71,077.50x = 19,642,092,575.06
  5. Step 5: Solve for x
    x = 19,642,092,575.06/71,077.50
  6. Step 6: Final answer
    x = 276,347.54

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.