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Finding the Third Proportional to 73,524 and 103,540.50

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Solution

The third proportional to 73,524 and 103,540.50 is: 145,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,524 : 103,540.50 = 103,540.50 : x
  2. Step 2: Convert to fraction form
    73,524/103,540.50 = 103,540.50/x
  3. Step 3: Cross multiply
    73,524x = 103,540.50 × 103,540.50
  4. Step 4: Simplify right side
    73,524x = 10,720,635,140.25
  5. Step 5: Solve for x
    x = 10,720,635,140.25/73,524
  6. Step 6: Final answer
    x = 145,811.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.