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Finding the Third Proportional to 401,944 and 639,814

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Solution

The third proportional to 401,944 and 639,814 is: 1,018,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,944 : 639,814 = 639,814 : x
  2. Step 2: Convert to fraction form
    401,944/639,814 = 639,814/x
  3. Step 3: Cross multiply
    401,944x = 639,814 × 639,814
  4. Step 4: Simplify right side
    401,944x = 409,361,954,596
  5. Step 5: Solve for x
    x = 409,361,954,596/401,944
  6. Step 6: Final answer
    x = 1,018,455.19

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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.