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Finding the Third Proportional to 3,039.50 and 4,346.44

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Solution

The third proportional to 3,039.50 and 4,346.44 is: 6,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.50 : 4,346.44 = 4,346.44 : x
  2. Step 2: Convert to fraction form
    3,039.50/4,346.44 = 4,346.44/x
  3. Step 3: Cross multiply
    3,039.50x = 4,346.44 × 4,346.44
  4. Step 4: Simplify right side
    3,039.50x = 18,891,518.94
  5. Step 5: Solve for x
    x = 18,891,518.94/3,039.50
  6. Step 6: Final answer
    x = 6,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.