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Finding the Third Proportional to 288.38 and 433.88

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Solution

The third proportional to 288.38 and 433.88 is: 652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.38 : 433.88 = 433.88 : x
  2. Step 2: Convert to fraction form
    288.38/433.88 = 433.88/x
  3. Step 3: Cross multiply
    288.38x = 433.88 × 433.88
  4. Step 4: Simplify right side
    288.38x = 188,247.52
  5. Step 5: Solve for x
    x = 188,247.52/288.38
  6. Step 6: Final answer
    x = 652.79

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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.