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Finding the Third Proportional to 82,212 and 123,318.75

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Solution

The third proportional to 82,212 and 123,318.75 is: 184,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,212 : 123,318.75 = 123,318.75 : x
  2. Step 2: Convert to fraction form
    82,212/123,318.75 = 123,318.75/x
  3. Step 3: Cross multiply
    82,212x = 123,318.75 × 123,318.75
  4. Step 4: Simplify right side
    82,212x = 15,207,514,101.56
  5. Step 5: Solve for x
    x = 15,207,514,101.56/82,212
  6. Step 6: Final answer
    x = 184,979.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.