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Finding the Third Proportional to 454.38 and 699.44

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Solution

The third proportional to 454.38 and 699.44 is: 1,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.38 : 699.44 = 699.44 : x
  2. Step 2: Convert to fraction form
    454.38/699.44 = 699.44/x
  3. Step 3: Cross multiply
    454.38x = 699.44 × 699.44
  4. Step 4: Simplify right side
    454.38x = 489,212.82
  5. Step 5: Solve for x
    x = 489,212.82/454.38
  6. Step 6: Final answer
    x = 1,076.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.