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Finding the Third Proportional to 401,936 and 639,804

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Solution

The third proportional to 401,936 and 639,804 is: 1,018,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,936 : 639,804 = 639,804 : x
  2. Step 2: Convert to fraction form
    401,936/639,804 = 639,804/x
  3. Step 3: Cross multiply
    401,936x = 639,804 × 639,804
  4. Step 4: Simplify right side
    401,936x = 409,349,158,416
  5. Step 5: Solve for x
    x = 409,349,158,416/401,936
  6. Step 6: Final answer
    x = 1,018,443.63

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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.