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Finding the Third Proportional to 81,016,686 and 115,770,924

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Solution

The third proportional to 81,016,686 and 115,770,924 is: 165,433,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,016,686 : 115,770,924 = 115,770,924 : x
  2. Step 2: Convert to fraction form
    81,016,686/115,770,924 = 115,770,924/x
  3. Step 3: Cross multiply
    81,016,686x = 115,770,924 × 115,770,924
  4. Step 4: Simplify right side
    81,016,686x = 13,402,906,843,813,776
  5. Step 5: Solve for x
    x = 13,402,906,843,813,776/81,016,686
  6. Step 6: Final answer
    x = 165,433,906.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.