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Finding the Third Proportional to 74,919 and 115,997

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Solution

The third proportional to 74,919 and 115,997 is: 179,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,919 : 115,997 = 115,997 : x
  2. Step 2: Convert to fraction form
    74,919/115,997 = 115,997/x
  3. Step 3: Cross multiply
    74,919x = 115,997 × 115,997
  4. Step 4: Simplify right side
    74,919x = 13,455,304,009
  5. Step 5: Solve for x
    x = 13,455,304,009/74,919
  6. Step 6: Final answer
    x = 179,598.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.