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Finding the Third Proportional to 180,198 and 391,140

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Solution

The third proportional to 180,198 and 391,140 is: 849,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,198 : 391,140 = 391,140 : x
  2. Step 2: Convert to fraction form
    180,198/391,140 = 391,140/x
  3. Step 3: Cross multiply
    180,198x = 391,140 × 391,140
  4. Step 4: Simplify right side
    180,198x = 152,990,499,600
  5. Step 5: Solve for x
    x = 152,990,499,600/180,198
  6. Step 6: Final answer
    x = 849,013.31

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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.