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Finding the Third Proportional to 639,380 and 960,699

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Solution

The third proportional to 639,380 and 960,699 is: 1,443,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,380 : 960,699 = 960,699 : x
  2. Step 2: Convert to fraction form
    639,380/960,699 = 960,699/x
  3. Step 3: Cross multiply
    639,380x = 960,699 × 960,699
  4. Step 4: Simplify right side
    639,380x = 922,942,568,601
  5. Step 5: Solve for x
    x = 922,942,568,601/639,380
  6. Step 6: Final answer
    x = 1,443,496.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.