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Finding the Third Proportional to 64,401 and 84,889

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Solution

The third proportional to 64,401 and 84,889 is: 111,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,401 : 84,889 = 84,889 : x
  2. Step 2: Convert to fraction form
    64,401/84,889 = 84,889/x
  3. Step 3: Cross multiply
    64,401x = 84,889 × 84,889
  4. Step 4: Simplify right side
    64,401x = 7,206,142,321
  5. Step 5: Solve for x
    x = 7,206,142,321/64,401
  6. Step 6: Final answer
    x = 111,894.88

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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.