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Finding the Third Proportional to 72,382.13 and 109,803.38

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Solution

The third proportional to 72,382.13 and 109,803.38 is: 166,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382.13 : 109,803.38 = 109,803.38 : x
  2. Step 2: Convert to fraction form
    72,382.13/109,803.38 = 109,803.38/x
  3. Step 3: Cross multiply
    72,382.13x = 109,803.38 × 109,803.38
  4. Step 4: Simplify right side
    72,382.13x = 12,056,781,161.39
  5. Step 5: Solve for x
    x = 12,056,781,161.39/72,382.13
  6. Step 6: Final answer
    x = 166,571.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.