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Finding the Third Proportional to 64,215 and 85,206

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Solution

The third proportional to 64,215 and 85,206 is: 113,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,215 : 85,206 = 85,206 : x
  2. Step 2: Convert to fraction form
    64,215/85,206 = 85,206/x
  3. Step 3: Cross multiply
    64,215x = 85,206 × 85,206
  4. Step 4: Simplify right side
    64,215x = 7,260,062,436
  5. Step 5: Solve for x
    x = 7,260,062,436/64,215
  6. Step 6: Final answer
    x = 113,058.67

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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.