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Finding the Third Proportional to 289.97 and 643.92

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Solution

The third proportional to 289.97 and 643.92 is: 1,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 643.92 = 643.92 : x
  2. Step 2: Convert to fraction form
    289.97/643.92 = 643.92/x
  3. Step 3: Cross multiply
    289.97x = 643.92 × 643.92
  4. Step 4: Simplify right side
    289.97x = 414,635.38
  5. Step 5: Solve for x
    x = 414,635.38/289.97
  6. Step 6: Final answer
    x = 1,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.