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Finding the Third Proportional to 5,872.50 and 8,994.80

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Solution

The third proportional to 5,872.50 and 8,994.80 is: 13,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.50 : 8,994.80 = 8,994.80 : x
  2. Step 2: Convert to fraction form
    5,872.50/8,994.80 = 8,994.80/x
  3. Step 3: Cross multiply
    5,872.50x = 8,994.80 × 8,994.80
  4. Step 4: Simplify right side
    5,872.50x = 80,906,370.82
  5. Step 5: Solve for x
    x = 80,906,370.82/5,872.50
  6. Step 6: Final answer
    x = 13,777.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.