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Finding the Third Proportional to 349,992 and 764,136

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Solution

The third proportional to 349,992 and 764,136 is: 1,668,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,992 : 764,136 = 764,136 : x
  2. Step 2: Convert to fraction form
    349,992/764,136 = 764,136/x
  3. Step 3: Cross multiply
    349,992x = 764,136 × 764,136
  4. Step 4: Simplify right side
    349,992x = 583,903,826,496
  5. Step 5: Solve for x
    x = 583,903,826,496/349,992
  6. Step 6: Final answer
    x = 1,668,334.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.