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Finding the Third Proportional to 443,109 and 668,727

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Solution

The third proportional to 443,109 and 668,727 is: 1,009,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,109 : 668,727 = 668,727 : x
  2. Step 2: Convert to fraction form
    443,109/668,727 = 668,727/x
  3. Step 3: Cross multiply
    443,109x = 668,727 × 668,727
  4. Step 4: Simplify right side
    443,109x = 447,195,800,529
  5. Step 5: Solve for x
    x = 447,195,800,529/443,109
  6. Step 6: Final answer
    x = 1,009,223.01

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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.