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Finding the Third Proportional to 3,073.50 and 4,499.44

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Solution

The third proportional to 3,073.50 and 4,499.44 is: 6,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.50 : 4,499.44 = 4,499.44 : x
  2. Step 2: Convert to fraction form
    3,073.50/4,499.44 = 4,499.44/x
  3. Step 3: Cross multiply
    3,073.50x = 4,499.44 × 4,499.44
  4. Step 4: Simplify right side
    3,073.50x = 20,244,937.82
  5. Step 5: Solve for x
    x = 20,244,937.82/3,073.50
  6. Step 6: Final answer
    x = 6,586.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.