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Finding the Third Proportional to 1,244.11 and 1,798.45

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Solution

The third proportional to 1,244.11 and 1,798.45 is: 2,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.11 : 1,798.45 = 1,798.45 : x
  2. Step 2: Convert to fraction form
    1,244.11/1,798.45 = 1,798.45/x
  3. Step 3: Cross multiply
    1,244.11x = 1,798.45 × 1,798.45
  4. Step 4: Simplify right side
    1,244.11x = 3,234,433.64
  5. Step 5: Solve for x
    x = 3,234,433.64/1,244.11
  6. Step 6: Final answer
    x = 2,599.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.