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Finding the Third Proportional to 285.75 and 359.09

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Solution

The third proportional to 285.75 and 359.09 is: 451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 359.09 = 359.09 : x
  2. Step 2: Convert to fraction form
    285.75/359.09 = 359.09/x
  3. Step 3: Cross multiply
    285.75x = 359.09 × 359.09
  4. Step 4: Simplify right side
    285.75x = 128,942.71
  5. Step 5: Solve for x
    x = 128,942.71/285.75
  6. Step 6: Final answer
    x = 451.24

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.