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Finding the Third Proportional to 3,458.06 and 7,409.20

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Solution

The third proportional to 3,458.06 and 7,409.20 is: 15,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.06 : 7,409.20 = 7,409.20 : x
  2. Step 2: Convert to fraction form
    3,458.06/7,409.20 = 7,409.20/x
  3. Step 3: Cross multiply
    3,458.06x = 7,409.20 × 7,409.20
  4. Step 4: Simplify right side
    3,458.06x = 54,896,290.95
  5. Step 5: Solve for x
    x = 54,896,290.95/3,458.06
  6. Step 6: Final answer
    x = 15,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.