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Finding the Third Proportional to 244.11 and 537.10

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Solution

The third proportional to 244.11 and 537.10 is: 1,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.11 : 537.10 = 537.10 : x
  2. Step 2: Convert to fraction form
    244.11/537.10 = 537.10/x
  3. Step 3: Cross multiply
    244.11x = 537.10 × 537.10
  4. Step 4: Simplify right side
    244.11x = 288,475.99
  5. Step 5: Solve for x
    x = 288,475.99/244.11
  6. Step 6: Final answer
    x = 1,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.