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Finding the Third Proportional to 449.22 and 684.15

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Solution

The third proportional to 449.22 and 684.15 is: 1,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.22 : 684.15 = 684.15 : x
  2. Step 2: Convert to fraction form
    449.22/684.15 = 684.15/x
  3. Step 3: Cross multiply
    449.22x = 684.15 × 684.15
  4. Step 4: Simplify right side
    449.22x = 468,060.42
  5. Step 5: Solve for x
    x = 468,060.42/449.22
  6. Step 6: Final answer
    x = 1,041.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.