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Finding the Third Proportional to 442,636 and 669,225

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Solution

The third proportional to 442,636 and 669,225 is: 1,011,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,636 : 669,225 = 669,225 : x
  2. Step 2: Convert to fraction form
    442,636/669,225 = 669,225/x
  3. Step 3: Cross multiply
    442,636x = 669,225 × 669,225
  4. Step 4: Simplify right side
    442,636x = 447,862,100,625
  5. Step 5: Solve for x
    x = 447,862,100,625/442,636
  6. Step 6: Final answer
    x = 1,011,806.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.