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Finding the Third Proportional to 642,678 and 996,327

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Solution

The third proportional to 642,678 and 996,327 is: 1,544,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,678 : 996,327 = 996,327 : x
  2. Step 2: Convert to fraction form
    642,678/996,327 = 996,327/x
  3. Step 3: Cross multiply
    642,678x = 996,327 × 996,327
  4. Step 4: Simplify right side
    642,678x = 992,667,490,929
  5. Step 5: Solve for x
    x = 992,667,490,929/642,678
  6. Step 6: Final answer
    x = 1,544,579.85

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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.