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Finding the Third Proportional to 77,686 and 117,579

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Solution

The third proportional to 77,686 and 117,579 is: 177,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686 : 117,579 = 117,579 : x
  2. Step 2: Convert to fraction form
    77,686/117,579 = 117,579/x
  3. Step 3: Cross multiply
    77,686x = 117,579 × 117,579
  4. Step 4: Simplify right side
    77,686x = 13,824,821,241
  5. Step 5: Solve for x
    x = 13,824,821,241/77,686
  6. Step 6: Final answer
    x = 177,957.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.