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Finding the Third Proportional to 639,378 and 960,696

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Solution

The third proportional to 639,378 and 960,696 is: 1,443,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,378 : 960,696 = 960,696 : x
  2. Step 2: Convert to fraction form
    639,378/960,696 = 960,696/x
  3. Step 3: Cross multiply
    639,378x = 960,696 × 960,696
  4. Step 4: Simplify right side
    639,378x = 922,936,804,416
  5. Step 5: Solve for x
    x = 922,936,804,416/639,378
  6. Step 6: Final answer
    x = 1,443,491.65

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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.