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Finding the Third Proportional to 409,734 and 641,334

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Solution

The third proportional to 409,734 and 641,334 is: 1,003,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,734 : 641,334 = 641,334 : x
  2. Step 2: Convert to fraction form
    409,734/641,334 = 641,334/x
  3. Step 3: Cross multiply
    409,734x = 641,334 × 641,334
  4. Step 4: Simplify right side
    409,734x = 411,309,299,556
  5. Step 5: Solve for x
    x = 411,309,299,556/409,734
  6. Step 6: Final answer
    x = 1,003,844.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.