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Finding the Third Proportional to 2,880.98 and 4,405.22

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Solution

The third proportional to 2,880.98 and 4,405.22 is: 6,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.98 : 4,405.22 = 4,405.22 : x
  2. Step 2: Convert to fraction form
    2,880.98/4,405.22 = 4,405.22/x
  3. Step 3: Cross multiply
    2,880.98x = 4,405.22 × 4,405.22
  4. Step 4: Simplify right side
    2,880.98x = 19,405,952.24
  5. Step 5: Solve for x
    x = 19,405,952.24/2,880.98
  6. Step 6: Final answer
    x = 6,735.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.