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Finding the Third Proportional to 289.38 and 606.31

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Solution

The third proportional to 289.38 and 606.31 is: 1,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 606.31 = 606.31 : x
  2. Step 2: Convert to fraction form
    289.38/606.31 = 606.31/x
  3. Step 3: Cross multiply
    289.38x = 606.31 × 606.31
  4. Step 4: Simplify right side
    289.38x = 367,614.85
  5. Step 5: Solve for x
    x = 367,614.85/289.38
  6. Step 6: Final answer
    x = 1,270.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.