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Finding the Third Proportional to 3,019.50 and 4,703.25

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Solution

The third proportional to 3,019.50 and 4,703.25 is: 7,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.50 : 4,703.25 = 4,703.25 : x
  2. Step 2: Convert to fraction form
    3,019.50/4,703.25 = 4,703.25/x
  3. Step 3: Cross multiply
    3,019.50x = 4,703.25 × 4,703.25
  4. Step 4: Simplify right side
    3,019.50x = 22,120,560.56
  5. Step 5: Solve for x
    x = 22,120,560.56/3,019.50
  6. Step 6: Final answer
    x = 7,325.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.