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Finding the Third Proportional to 399,905 and 635,983

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Solution

The third proportional to 399,905 and 635,983 is: 1,011,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,905 : 635,983 = 635,983 : x
  2. Step 2: Convert to fraction form
    399,905/635,983 = 635,983/x
  3. Step 3: Cross multiply
    399,905x = 635,983 × 635,983
  4. Step 4: Simplify right side
    399,905x = 404,474,376,289
  5. Step 5: Solve for x
    x = 404,474,376,289/399,905
  6. Step 6: Final answer
    x = 1,011,426.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.