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Finding the Third Proportional to 331,845 and 723,965

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Solution

The third proportional to 331,845 and 723,965 is: 1,579,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,845 : 723,965 = 723,965 : x
  2. Step 2: Convert to fraction form
    331,845/723,965 = 723,965/x
  3. Step 3: Cross multiply
    331,845x = 723,965 × 723,965
  4. Step 4: Simplify right side
    331,845x = 524,125,321,225
  5. Step 5: Solve for x
    x = 524,125,321,225/331,845
  6. Step 6: Final answer
    x = 1,579,428.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.