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Finding the Third Proportional to 36,489 and 78,162

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Solution

The third proportional to 36,489 and 78,162 is: 167,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,489 : 78,162 = 78,162 : x
  2. Step 2: Convert to fraction form
    36,489/78,162 = 78,162/x
  3. Step 3: Cross multiply
    36,489x = 78,162 × 78,162
  4. Step 4: Simplify right side
    36,489x = 6,109,298,244
  5. Step 5: Solve for x
    x = 6,109,298,244/36,489
  6. Step 6: Final answer
    x = 167,428.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.