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Finding the Third Proportional to 285.87 and 428.73

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Solution

The third proportional to 285.87 and 428.73 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.87 : 428.73 = 428.73 : x
  2. Step 2: Convert to fraction form
    285.87/428.73 = 428.73/x
  3. Step 3: Cross multiply
    285.87x = 428.73 × 428.73
  4. Step 4: Simplify right side
    285.87x = 183,809.81
  5. Step 5: Solve for x
    x = 183,809.81/285.87
  6. Step 6: Final answer
    x = 642.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.