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Finding the Third Proportional to 116,988 and 159,930

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Solution

The third proportional to 116,988 and 159,930 is: 218,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,988 : 159,930 = 159,930 : x
  2. Step 2: Convert to fraction form
    116,988/159,930 = 159,930/x
  3. Step 3: Cross multiply
    116,988x = 159,930 × 159,930
  4. Step 4: Simplify right side
    116,988x = 25,577,604,900
  5. Step 5: Solve for x
    x = 25,577,604,900/116,988
  6. Step 6: Final answer
    x = 218,634.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.