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Finding the Third Proportional to 116,830 and 177,555

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Solution

The third proportional to 116,830 and 177,555 is: 269,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,830 : 177,555 = 177,555 : x
  2. Step 2: Convert to fraction form
    116,830/177,555 = 177,555/x
  3. Step 3: Cross multiply
    116,830x = 177,555 × 177,555
  4. Step 4: Simplify right side
    116,830x = 31,525,778,025
  5. Step 5: Solve for x
    x = 31,525,778,025/116,830
  6. Step 6: Final answer
    x = 269,843.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.