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Finding the Third Proportional to 331,511 and 723,745

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Solution

The third proportional to 331,511 and 723,745 is: 1,580,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,511 : 723,745 = 723,745 : x
  2. Step 2: Convert to fraction form
    331,511/723,745 = 723,745/x
  3. Step 3: Cross multiply
    331,511x = 723,745 × 723,745
  4. Step 4: Simplify right side
    331,511x = 523,806,825,025
  5. Step 5: Solve for x
    x = 523,806,825,025/331,511
  6. Step 6: Final answer
    x = 1,580,058.66

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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.