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Finding the Third Proportional to 640,907 and 996,348

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Solution

The third proportional to 640,907 and 996,348 is: 1,548,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,907 : 996,348 = 996,348 : x
  2. Step 2: Convert to fraction form
    640,907/996,348 = 996,348/x
  3. Step 3: Cross multiply
    640,907x = 996,348 × 996,348
  4. Step 4: Simplify right side
    640,907x = 992,709,337,104
  5. Step 5: Solve for x
    x = 992,709,337,104/640,907
  6. Step 6: Final answer
    x = 1,548,913.24

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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.