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Finding the Third Proportional to 215,520.75 and 326,273.06

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Solution

The third proportional to 215,520.75 and 326,273.06 is: 493,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,520.75 : 326,273.06 = 326,273.06 : x
  2. Step 2: Convert to fraction form
    215,520.75/326,273.06 = 326,273.06/x
  3. Step 3: Cross multiply
    215,520.75x = 326,273.06 × 326,273.06
  4. Step 4: Simplify right side
    215,520.75x = 106,454,111,313.13
  5. Step 5: Solve for x
    x = 106,454,111,313.13/215,520.75
  6. Step 6: Final answer
    x = 493,939.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.