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Finding the Third Proportional to 52,150.50 and 72,987.75

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Solution

The third proportional to 52,150.50 and 72,987.75 is: 102,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,150.50 : 72,987.75 = 72,987.75 : x
  2. Step 2: Convert to fraction form
    52,150.50/72,987.75 = 72,987.75/x
  3. Step 3: Cross multiply
    52,150.50x = 72,987.75 × 72,987.75
  4. Step 4: Simplify right side
    52,150.50x = 5,327,211,650.06
  5. Step 5: Solve for x
    x = 5,327,211,650.06/52,150.50
  6. Step 6: Final answer
    x = 102,150.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.