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Finding the Third Proportional to 183.02 and 287.65

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Solution

The third proportional to 183.02 and 287.65 is: 452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 287.65 = 287.65 : x
  2. Step 2: Convert to fraction form
    183.02/287.65 = 287.65/x
  3. Step 3: Cross multiply
    183.02x = 287.65 × 287.65
  4. Step 4: Simplify right side
    183.02x = 82,741.62
  5. Step 5: Solve for x
    x = 82,741.62/183.02
  6. Step 6: Final answer
    x = 452.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.