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Finding the Third Proportional to 74,150 and 114,911

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Solution

The third proportional to 74,150 and 114,911 is: 178,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,150 : 114,911 = 114,911 : x
  2. Step 2: Convert to fraction form
    74,150/114,911 = 114,911/x
  3. Step 3: Cross multiply
    74,150x = 114,911 × 114,911
  4. Step 4: Simplify right side
    74,150x = 13,204,537,921
  5. Step 5: Solve for x
    x = 13,204,537,921/74,150
  6. Step 6: Final answer
    x = 178,078.73

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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.