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Finding the Third Proportional to 401,962 and 639,843

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Solution

The third proportional to 401,962 and 639,843 is: 1,018,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,962 : 639,843 = 639,843 : x
  2. Step 2: Convert to fraction form
    401,962/639,843 = 639,843/x
  3. Step 3: Cross multiply
    401,962x = 639,843 × 639,843
  4. Step 4: Simplify right side
    401,962x = 409,399,064,649
  5. Step 5: Solve for x
    x = 409,399,064,649/401,962
  6. Step 6: Final answer
    x = 1,018,501.91

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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.