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Finding the Third Proportional to 2,002.50 and 4,202.25

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Solution

The third proportional to 2,002.50 and 4,202.25 is: 8,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.50 : 4,202.25 = 4,202.25 : x
  2. Step 2: Convert to fraction form
    2,002.50/4,202.25 = 4,202.25/x
  3. Step 3: Cross multiply
    2,002.50x = 4,202.25 × 4,202.25
  4. Step 4: Simplify right side
    2,002.50x = 17,658,905.06
  5. Step 5: Solve for x
    x = 17,658,905.06/2,002.50
  6. Step 6: Final answer
    x = 8,818.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.