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Finding the Third Proportional to 177,743 and 288,770

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Solution

The third proportional to 177,743 and 288,770 is: 469,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,743 : 288,770 = 288,770 : x
  2. Step 2: Convert to fraction form
    177,743/288,770 = 288,770/x
  3. Step 3: Cross multiply
    177,743x = 288,770 × 288,770
  4. Step 4: Simplify right side
    177,743x = 83,388,112,900
  5. Step 5: Solve for x
    x = 83,388,112,900/177,743
  6. Step 6: Final answer
    x = 469,149.91

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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.