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Finding the Third Proportional to 64,398 and 84,885

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Solution

The third proportional to 64,398 and 84,885 is: 111,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,398 : 84,885 = 84,885 : x
  2. Step 2: Convert to fraction form
    64,398/84,885 = 84,885/x
  3. Step 3: Cross multiply
    64,398x = 84,885 × 84,885
  4. Step 4: Simplify right side
    64,398x = 7,205,463,225
  5. Step 5: Solve for x
    x = 7,205,463,225/64,398
  6. Step 6: Final answer
    x = 111,889.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.