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Finding the Third Proportional to 288.86 and 445.84

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Solution

The third proportional to 288.86 and 445.84 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 445.84 = 445.84 : x
  2. Step 2: Convert to fraction form
    288.86/445.84 = 445.84/x
  3. Step 3: Cross multiply
    288.86x = 445.84 × 445.84
  4. Step 4: Simplify right side
    288.86x = 198,769.90
  5. Step 5: Solve for x
    x = 198,769.90/288.86
  6. Step 6: Final answer
    x = 688.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.