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Finding the Third Proportional to 449.63 and 1,102.13

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Solution

The third proportional to 449.63 and 1,102.13 is: 2,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.63 : 1,102.13 = 1,102.13 : x
  2. Step 2: Convert to fraction form
    449.63/1,102.13 = 1,102.13/x
  3. Step 3: Cross multiply
    449.63x = 1,102.13 × 1,102.13
  4. Step 4: Simplify right side
    449.63x = 1,214,679.52
  5. Step 5: Solve for x
    x = 1,214,679.52/449.63
  6. Step 6: Final answer
    x = 2,701.54

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.