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Finding the Third Proportional to 74,278 and 115,116

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Solution

The third proportional to 74,278 and 115,116 is: 178,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,278 : 115,116 = 115,116 : x
  2. Step 2: Convert to fraction form
    74,278/115,116 = 115,116/x
  3. Step 3: Cross multiply
    74,278x = 115,116 × 115,116
  4. Step 4: Simplify right side
    74,278x = 13,251,693,456
  5. Step 5: Solve for x
    x = 13,251,693,456/74,278
  6. Step 6: Final answer
    x = 178,406.71

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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.