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Finding the Third Proportional to 640,822 and 966,156

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Solution

The third proportional to 640,822 and 966,156 is: 1,456,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,822 : 966,156 = 966,156 : x
  2. Step 2: Convert to fraction form
    640,822/966,156 = 966,156/x
  3. Step 3: Cross multiply
    640,822x = 966,156 × 966,156
  4. Step 4: Simplify right side
    640,822x = 933,457,416,336
  5. Step 5: Solve for x
    x = 933,457,416,336/640,822
  6. Step 6: Final answer
    x = 1,456,656.32

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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.