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Finding the Third Proportional to 322,190 and 727,940

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Solution

The third proportional to 322,190 and 727,940 is: 1,644,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,190 : 727,940 = 727,940 : x
  2. Step 2: Convert to fraction form
    322,190/727,940 = 727,940/x
  3. Step 3: Cross multiply
    322,190x = 727,940 × 727,940
  4. Step 4: Simplify right side
    322,190x = 529,896,643,600
  5. Step 5: Solve for x
    x = 529,896,643,600/322,190
  6. Step 6: Final answer
    x = 1,644,671.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.