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Finding the Third Proportional to 81,609.19 and 170,599.50

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Solution

The third proportional to 81,609.19 and 170,599.50 is: 356,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.19 : 170,599.50 = 170,599.50 : x
  2. Step 2: Convert to fraction form
    81,609.19/170,599.50 = 170,599.50/x
  3. Step 3: Cross multiply
    81,609.19x = 170,599.50 × 170,599.50
  4. Step 4: Simplify right side
    81,609.19x = 29,104,189,400.25
  5. Step 5: Solve for x
    x = 29,104,189,400.25/81,609.19
  6. Step 6: Final answer
    x = 356,628.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.