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Finding the Third Proportional to 640,974 and 996,426

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Solution

The third proportional to 640,974 and 996,426 is: 1,548,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,974 : 996,426 = 996,426 : x
  2. Step 2: Convert to fraction form
    640,974/996,426 = 996,426/x
  3. Step 3: Cross multiply
    640,974x = 996,426 × 996,426
  4. Step 4: Simplify right side
    640,974x = 992,864,773,476
  5. Step 5: Solve for x
    x = 992,864,773,476/640,974
  6. Step 6: Final answer
    x = 1,548,993.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.