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Finding the Third Proportional to 64,214 and 85,205

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Solution

The third proportional to 64,214 and 85,205 is: 113,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214 : 85,205 = 85,205 : x
  2. Step 2: Convert to fraction form
    64,214/85,205 = 85,205/x
  3. Step 3: Cross multiply
    64,214x = 85,205 × 85,205
  4. Step 4: Simplify right side
    64,214x = 7,259,892,025
  5. Step 5: Solve for x
    x = 7,259,892,025/64,214
  6. Step 6: Final answer
    x = 113,057.78

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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.