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Finding the Third Proportional to 401,950 and 639,825

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Solution

The third proportional to 401,950 and 639,825 is: 1,018,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,950 : 639,825 = 639,825 : x
  2. Step 2: Convert to fraction form
    401,950/639,825 = 639,825/x
  3. Step 3: Cross multiply
    401,950x = 639,825 × 639,825
  4. Step 4: Simplify right side
    401,950x = 409,376,030,625
  5. Step 5: Solve for x
    x = 409,376,030,625/401,950
  6. Step 6: Final answer
    x = 1,018,475.01

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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.