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Finding the Third Proportional to 307,722 and 639,906

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Solution

The third proportional to 307,722 and 639,906 is: 1,330,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,722 : 639,906 = 639,906 : x
  2. Step 2: Convert to fraction form
    307,722/639,906 = 639,906/x
  3. Step 3: Cross multiply
    307,722x = 639,906 × 639,906
  4. Step 4: Simplify right side
    307,722x = 409,479,688,836
  5. Step 5: Solve for x
    x = 409,479,688,836/307,722
  6. Step 6: Final answer
    x = 1,330,680.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.