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Finding the Third Proportional to 285.12 and 446.90

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Solution

The third proportional to 285.12 and 446.90 is: 700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 446.90 = 446.90 : x
  2. Step 2: Convert to fraction form
    285.12/446.90 = 446.90/x
  3. Step 3: Cross multiply
    285.12x = 446.90 × 446.90
  4. Step 4: Simplify right side
    285.12x = 199,723.23
  5. Step 5: Solve for x
    x = 199,723.23/285.12
  6. Step 6: Final answer
    x = 700.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.