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Finding the Third Proportional to 64,221 and 85,239

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Solution

The third proportional to 64,221 and 85,239 is: 113,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,221 : 85,239 = 85,239 : x
  2. Step 2: Convert to fraction form
    64,221/85,239 = 85,239/x
  3. Step 3: Cross multiply
    64,221x = 85,239 × 85,239
  4. Step 4: Simplify right side
    64,221x = 7,265,687,121
  5. Step 5: Solve for x
    x = 7,265,687,121/64,221
  6. Step 6: Final answer
    x = 113,135.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.