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Finding the Third Proportional to 409,286 and 631,425

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Solution

The third proportional to 409,286 and 631,425 is: 974,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,286 : 631,425 = 631,425 : x
  2. Step 2: Convert to fraction form
    409,286/631,425 = 631,425/x
  3. Step 3: Cross multiply
    409,286x = 631,425 × 631,425
  4. Step 4: Simplify right side
    409,286x = 398,697,530,625
  5. Step 5: Solve for x
    x = 398,697,530,625/409,286
  6. Step 6: Final answer
    x = 974,129.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.