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Finding the Third Proportional to 82,270.50 and 122,867.25

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Solution

The third proportional to 82,270.50 and 122,867.25 is: 183,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270.50 : 122,867.25 = 122,867.25 : x
  2. Step 2: Convert to fraction form
    82,270.50/122,867.25 = 122,867.25/x
  3. Step 3: Cross multiply
    82,270.50x = 122,867.25 × 122,867.25
  4. Step 4: Simplify right side
    82,270.50x = 15,096,361,122.56
  5. Step 5: Solve for x
    x = 15,096,361,122.56/82,270.50
  6. Step 6: Final answer
    x = 183,496.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.