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Finding the Third Proportional to 3,012.75 and 4,398.19

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Solution

The third proportional to 3,012.75 and 4,398.19 is: 6,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.75 : 4,398.19 = 4,398.19 : x
  2. Step 2: Convert to fraction form
    3,012.75/4,398.19 = 4,398.19/x
  3. Step 3: Cross multiply
    3,012.75x = 4,398.19 × 4,398.19
  4. Step 4: Simplify right side
    3,012.75x = 19,344,053.29
  5. Step 5: Solve for x
    x = 19,344,053.29/3,012.75
  6. Step 6: Final answer
    x = 6,420.73

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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.