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Finding the Third Proportional to 288.81 and 452.19

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Solution

The third proportional to 288.81 and 452.19 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 452.19 = 452.19 : x
  2. Step 2: Convert to fraction form
    288.81/452.19 = 452.19/x
  3. Step 3: Cross multiply
    288.81x = 452.19 × 452.19
  4. Step 4: Simplify right side
    288.81x = 204,473.54
  5. Step 5: Solve for x
    x = 204,473.54/288.81
  6. Step 6: Final answer
    x = 707.98

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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.