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Finding the Third Proportional to 3,485.06 and 5,398.21

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Solution

The third proportional to 3,485.06 and 5,398.21 is: 8,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.06 : 5,398.21 = 5,398.21 : x
  2. Step 2: Convert to fraction form
    3,485.06/5,398.21 = 5,398.21/x
  3. Step 3: Cross multiply
    3,485.06x = 5,398.21 × 5,398.21
  4. Step 4: Simplify right side
    3,485.06x = 29,140,639.15
  5. Step 5: Solve for x
    x = 29,140,639.15/3,485.06
  6. Step 6: Final answer
    x = 8,361.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.