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Finding the Third Proportional to 177,739 and 288,764

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Solution

The third proportional to 177,739 and 288,764 is: 469,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,739 : 288,764 = 288,764 : x
  2. Step 2: Convert to fraction form
    177,739/288,764 = 288,764/x
  3. Step 3: Cross multiply
    177,739x = 288,764 × 288,764
  4. Step 4: Simplify right side
    177,739x = 83,384,647,696
  5. Step 5: Solve for x
    x = 83,384,647,696/177,739
  6. Step 6: Final answer
    x = 469,140.97

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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.