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Finding the Third Proportional to 640,899 and 996,336

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Solution

The third proportional to 640,899 and 996,336 is: 1,548,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,899 : 996,336 = 996,336 : x
  2. Step 2: Convert to fraction form
    640,899/996,336 = 996,336/x
  3. Step 3: Cross multiply
    640,899x = 996,336 × 996,336
  4. Step 4: Simplify right side
    640,899x = 992,685,424,896
  5. Step 5: Solve for x
    x = 992,685,424,896/640,899
  6. Step 6: Final answer
    x = 1,548,895.26

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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.