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Finding the Third Proportional to 71,828 and 113,288

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Solution

The third proportional to 71,828 and 113,288 is: 178,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,828 : 113,288 = 113,288 : x
  2. Step 2: Convert to fraction form
    71,828/113,288 = 113,288/x
  3. Step 3: Cross multiply
    71,828x = 113,288 × 113,288
  4. Step 4: Simplify right side
    71,828x = 12,834,170,944
  5. Step 5: Solve for x
    x = 12,834,170,944/71,828
  6. Step 6: Final answer
    x = 178,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.