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Finding the Third Proportional to 301,330 and 668,743

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Solution

The third proportional to 301,330 and 668,743 is: 1,484,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,330 : 668,743 = 668,743 : x
  2. Step 2: Convert to fraction form
    301,330/668,743 = 668,743/x
  3. Step 3: Cross multiply
    301,330x = 668,743 × 668,743
  4. Step 4: Simplify right side
    301,330x = 447,217,200,049
  5. Step 5: Solve for x
    x = 447,217,200,049/301,330
  6. Step 6: Final answer
    x = 1,484,144.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.