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Finding the Third Proportional to 285.38 and 624.09

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Solution

The third proportional to 285.38 and 624.09 is: 1,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.38 : 624.09 = 624.09 : x
  2. Step 2: Convert to fraction form
    285.38/624.09 = 624.09/x
  3. Step 3: Cross multiply
    285.38x = 624.09 × 624.09
  4. Step 4: Simplify right side
    285.38x = 389,493.01
  5. Step 5: Solve for x
    x = 389,493.01/285.38
  6. Step 6: Final answer
    x = 1,364.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.