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Finding the Third Proportional to 177,740 and 288,766

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Solution

The third proportional to 177,740 and 288,766 is: 469,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,740 : 288,766 = 288,766 : x
  2. Step 2: Convert to fraction form
    177,740/288,766 = 288,766/x
  3. Step 3: Cross multiply
    177,740x = 288,766 × 288,766
  4. Step 4: Simplify right side
    177,740x = 83,385,802,756
  5. Step 5: Solve for x
    x = 83,385,802,756/177,740
  6. Step 6: Final answer
    x = 469,144.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.