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Finding the Third Proportional to 640,864 and 966,208

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Solution

The third proportional to 640,864 and 966,208 is: 1,456,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,864 : 966,208 = 966,208 : x
  2. Step 2: Convert to fraction form
    640,864/966,208 = 966,208/x
  3. Step 3: Cross multiply
    640,864x = 966,208 × 966,208
  4. Step 4: Simplify right side
    640,864x = 933,557,899,264
  5. Step 5: Solve for x
    x = 933,557,899,264/640,864
  6. Step 6: Final answer
    x = 1,456,717.65

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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.