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Finding the Third Proportional to 299.67 and 644.48

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Solution

The third proportional to 299.67 and 644.48 is: 1,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 644.48 = 644.48 : x
  2. Step 2: Convert to fraction form
    299.67/644.48 = 644.48/x
  3. Step 3: Cross multiply
    299.67x = 644.48 × 644.48
  4. Step 4: Simplify right side
    299.67x = 415,360.11
  5. Step 5: Solve for x
    x = 415,360.11/299.67
  6. Step 6: Final answer
    x = 1,386.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.