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Finding the Third Proportional to 72,198 and 113,283

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Solution

The third proportional to 72,198 and 113,283 is: 177,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198 : 113,283 = 113,283 : x
  2. Step 2: Convert to fraction form
    72,198/113,283 = 113,283/x
  3. Step 3: Cross multiply
    72,198x = 113,283 × 113,283
  4. Step 4: Simplify right side
    72,198x = 12,833,038,089
  5. Step 5: Solve for x
    x = 12,833,038,089/72,198
  6. Step 6: Final answer
    x = 177,747.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.