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Finding the Third Proportional to 489.31 and 666.44

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Solution

The third proportional to 489.31 and 666.44 is: 907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.31 : 666.44 = 666.44 : x
  2. Step 2: Convert to fraction form
    489.31/666.44 = 666.44/x
  3. Step 3: Cross multiply
    489.31x = 666.44 × 666.44
  4. Step 4: Simplify right side
    489.31x = 444,138.94
  5. Step 5: Solve for x
    x = 444,138.94/489.31
  6. Step 6: Final answer
    x = 907.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.