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Finding the Third Proportional to 64,917 and 91,215

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Solution

The third proportional to 64,917 and 91,215 is: 128,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,917 : 91,215 = 91,215 : x
  2. Step 2: Convert to fraction form
    64,917/91,215 = 91,215/x
  3. Step 3: Cross multiply
    64,917x = 91,215 × 91,215
  4. Step 4: Simplify right side
    64,917x = 8,320,176,225
  5. Step 5: Solve for x
    x = 8,320,176,225/64,917
  6. Step 6: Final answer
    x = 128,166.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.