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Finding the Third Proportional to 449.44 and 607.22

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Solution

The third proportional to 449.44 and 607.22 is: 820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 607.22 = 607.22 : x
  2. Step 2: Convert to fraction form
    449.44/607.22 = 607.22/x
  3. Step 3: Cross multiply
    449.44x = 607.22 × 607.22
  4. Step 4: Simplify right side
    449.44x = 368,714.61
  5. Step 5: Solve for x
    x = 368,714.61/449.44
  6. Step 6: Final answer
    x = 820.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.