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Finding the Third Proportional to 118,208 and 181,686

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Solution

The third proportional to 118,208 and 181,686 is: 279,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,208 : 181,686 = 181,686 : x
  2. Step 2: Convert to fraction form
    118,208/181,686 = 181,686/x
  3. Step 3: Cross multiply
    118,208x = 181,686 × 181,686
  4. Step 4: Simplify right side
    118,208x = 33,009,802,596
  5. Step 5: Solve for x
    x = 33,009,802,596/118,208
  6. Step 6: Final answer
    x = 279,251.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.