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Finding the Third Proportional to 291.98 and 446.41

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Solution

The third proportional to 291.98 and 446.41 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.98 : 446.41 = 446.41 : x
  2. Step 2: Convert to fraction form
    291.98/446.41 = 446.41/x
  3. Step 3: Cross multiply
    291.98x = 446.41 × 446.41
  4. Step 4: Simplify right side
    291.98x = 199,285.52
  5. Step 5: Solve for x
    x = 199,285.52/291.98
  6. Step 6: Final answer
    x = 682.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.