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Finding the Third Proportional to 309,928 and 667,118

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Solution

The third proportional to 309,928 and 667,118 is: 1,435,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,928 : 667,118 = 667,118 : x
  2. Step 2: Convert to fraction form
    309,928/667,118 = 667,118/x
  3. Step 3: Cross multiply
    309,928x = 667,118 × 667,118
  4. Step 4: Simplify right side
    309,928x = 445,046,425,924
  5. Step 5: Solve for x
    x = 445,046,425,924/309,928
  6. Step 6: Final answer
    x = 1,435,967.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.