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Finding the Third Proportional to 74,154 and 114,917

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Solution

The third proportional to 74,154 and 114,917 is: 178,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154 : 114,917 = 114,917 : x
  2. Step 2: Convert to fraction form
    74,154/114,917 = 114,917/x
  3. Step 3: Cross multiply
    74,154x = 114,917 × 114,917
  4. Step 4: Simplify right side
    74,154x = 13,205,916,889
  5. Step 5: Solve for x
    x = 13,205,916,889/74,154
  6. Step 6: Final answer
    x = 178,087.72

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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.