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Finding the Third Proportional to 640,821 and 966,153

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Solution

The third proportional to 640,821 and 966,153 is: 1,456,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,821 : 966,153 = 966,153 : x
  2. Step 2: Convert to fraction form
    640,821/966,153 = 966,153/x
  3. Step 3: Cross multiply
    640,821x = 966,153 × 966,153
  4. Step 4: Simplify right side
    640,821x = 933,451,619,409
  5. Step 5: Solve for x
    x = 933,451,619,409/640,821
  6. Step 6: Final answer
    x = 1,456,649.55

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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.