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Finding the Third Proportional to 74,147 and 114,908

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Solution

The third proportional to 74,147 and 114,908 is: 178,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147 : 114,908 = 114,908 : x
  2. Step 2: Convert to fraction form
    74,147/114,908 = 114,908/x
  3. Step 3: Cross multiply
    74,147x = 114,908 × 114,908
  4. Step 4: Simplify right side
    74,147x = 13,203,848,464
  5. Step 5: Solve for x
    x = 13,203,848,464/74,147
  6. Step 6: Final answer
    x = 178,076.64

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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.