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Finding the Third Proportional to 288.94 and 422.53

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Solution

The third proportional to 288.94 and 422.53 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 422.53 = 422.53 : x
  2. Step 2: Convert to fraction form
    288.94/422.53 = 422.53/x
  3. Step 3: Cross multiply
    288.94x = 422.53 × 422.53
  4. Step 4: Simplify right side
    288.94x = 178,532.66
  5. Step 5: Solve for x
    x = 178,532.66/288.94
  6. Step 6: Final answer
    x = 617.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.