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Finding the Third Proportional to 411,188 and 635,458

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Solution

The third proportional to 411,188 and 635,458 is: 982,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,188 : 635,458 = 635,458 : x
  2. Step 2: Convert to fraction form
    411,188/635,458 = 635,458/x
  3. Step 3: Cross multiply
    411,188x = 635,458 × 635,458
  4. Step 4: Simplify right side
    411,188x = 403,806,869,764
  5. Step 5: Solve for x
    x = 403,806,869,764/411,188
  6. Step 6: Final answer
    x = 982,049.26

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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.