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Finding the Third Proportional to 289.94 and 433.38

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Solution

The third proportional to 289.94 and 433.38 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.94 : 433.38 = 433.38 : x
  2. Step 2: Convert to fraction form
    289.94/433.38 = 433.38/x
  3. Step 3: Cross multiply
    289.94x = 433.38 × 433.38
  4. Step 4: Simplify right side
    289.94x = 187,813.89
  5. Step 5: Solve for x
    x = 187,813.89/289.94
  6. Step 6: Final answer
    x = 647.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.