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Finding the Third Proportional to 285.38 and 683.13

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Solution

The third proportional to 285.38 and 683.13 is: 1,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.38 : 683.13 = 683.13 : x
  2. Step 2: Convert to fraction form
    285.38/683.13 = 683.13/x
  3. Step 3: Cross multiply
    285.38x = 683.13 × 683.13
  4. Step 4: Simplify right side
    285.38x = 466,659.77
  5. Step 5: Solve for x
    x = 466,659.77/285.38
  6. Step 6: Final answer
    x = 1,635.25

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.