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Finding the Third Proportional to 640,832 and 966,171

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Solution

The third proportional to 640,832 and 966,171 is: 1,456,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,832 : 966,171 = 966,171 : x
  2. Step 2: Convert to fraction form
    640,832/966,171 = 966,171/x
  3. Step 3: Cross multiply
    640,832x = 966,171 × 966,171
  4. Step 4: Simplify right side
    640,832x = 933,486,401,241
  5. Step 5: Solve for x
    x = 933,486,401,241/640,832
  6. Step 6: Final answer
    x = 1,456,678.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.