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Finding the Third Proportional to 180,328 and 391,760

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Solution

The third proportional to 180,328 and 391,760 is: 851,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,328 : 391,760 = 391,760 : x
  2. Step 2: Convert to fraction form
    180,328/391,760 = 391,760/x
  3. Step 3: Cross multiply
    180,328x = 391,760 × 391,760
  4. Step 4: Simplify right side
    180,328x = 153,475,897,600
  5. Step 5: Solve for x
    x = 153,475,897,600/180,328
  6. Step 6: Final answer
    x = 851,092.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.