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Finding the Third Proportional to 414,808 and 641,656

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Solution

The third proportional to 414,808 and 641,656 is: 992,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,808 : 641,656 = 641,656 : x
  2. Step 2: Convert to fraction form
    414,808/641,656 = 641,656/x
  3. Step 3: Cross multiply
    414,808x = 641,656 × 641,656
  4. Step 4: Simplify right side
    414,808x = 411,722,422,336
  5. Step 5: Solve for x
    x = 411,722,422,336/414,808
  6. Step 6: Final answer
    x = 992,561.43

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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.