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Finding the Third Proportional to 177,939 and 209,310

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Solution

The third proportional to 177,939 and 209,310 is: 246,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,939 : 209,310 = 209,310 : x
  2. Step 2: Convert to fraction form
    177,939/209,310 = 209,310/x
  3. Step 3: Cross multiply
    177,939x = 209,310 × 209,310
  4. Step 4: Simplify right side
    177,939x = 43,810,676,100
  5. Step 5: Solve for x
    x = 43,810,676,100/177,939
  6. Step 6: Final answer
    x = 246,211.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.