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Finding the Third Proportional to 288.81 and 475.69

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Solution

The third proportional to 288.81 and 475.69 is: 783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 475.69 = 475.69 : x
  2. Step 2: Convert to fraction form
    288.81/475.69 = 475.69/x
  3. Step 3: Cross multiply
    288.81x = 475.69 × 475.69
  4. Step 4: Simplify right side
    288.81x = 226,278.60
  5. Step 5: Solve for x
    x = 226,278.60/288.81
  6. Step 6: Final answer
    x = 783.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.