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Finding the Third Proportional to 82,237.50 and 170,939.25

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Solution

The third proportional to 82,237.50 and 170,939.25 is: 355,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,237.50 : 170,939.25 = 170,939.25 : x
  2. Step 2: Convert to fraction form
    82,237.50/170,939.25 = 170,939.25/x
  3. Step 3: Cross multiply
    82,237.50x = 170,939.25 × 170,939.25
  4. Step 4: Simplify right side
    82,237.50x = 29,220,227,190.56
  5. Step 5: Solve for x
    x = 29,220,227,190.56/82,237.50
  6. Step 6: Final answer
    x = 355,315.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.