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Finding the Third Proportional to 82,236.50 and 179,346.50

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Solution

The third proportional to 82,236.50 and 179,346.50 is: 391,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,236.50 : 179,346.50 = 179,346.50 : x
  2. Step 2: Convert to fraction form
    82,236.50/179,346.50 = 179,346.50/x
  3. Step 3: Cross multiply
    82,236.50x = 179,346.50 × 179,346.50
  4. Step 4: Simplify right side
    82,236.50x = 32,165,167,062.25
  5. Step 5: Solve for x
    x = 32,165,167,062.25/82,236.50
  6. Step 6: Final answer
    x = 391,130.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.