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Finding the Third Proportional to 409,614 and 635,985

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Solution

The third proportional to 409,614 and 635,985 is: 987,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,614 : 635,985 = 635,985 : x
  2. Step 2: Convert to fraction form
    409,614/635,985 = 635,985/x
  3. Step 3: Cross multiply
    409,614x = 635,985 × 635,985
  4. Step 4: Simplify right side
    409,614x = 404,476,920,225
  5. Step 5: Solve for x
    x = 404,476,920,225/409,614
  6. Step 6: Final answer
    x = 987,458.73

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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.