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Finding the Third Proportional to 285.94 and 427.19

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Solution

The third proportional to 285.94 and 427.19 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.94 : 427.19 = 427.19 : x
  2. Step 2: Convert to fraction form
    285.94/427.19 = 427.19/x
  3. Step 3: Cross multiply
    285.94x = 427.19 × 427.19
  4. Step 4: Simplify right side
    285.94x = 182,489.16
  5. Step 5: Solve for x
    x = 182,489.16/285.94
  6. Step 6: Final answer
    x = 638.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.