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Finding the Third Proportional to 52,975 and 80,002.50

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Solution

The third proportional to 52,975 and 80,002.50 is: 120,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,975 : 80,002.50 = 80,002.50 : x
  2. Step 2: Convert to fraction form
    52,975/80,002.50 = 80,002.50/x
  3. Step 3: Cross multiply
    52,975x = 80,002.50 × 80,002.50
  4. Step 4: Simplify right side
    52,975x = 6,400,400,006.25
  5. Step 5: Solve for x
    x = 6,400,400,006.25/52,975
  6. Step 6: Final answer
    x = 120,819.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.