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Finding the Third Proportional to 98,402.06 and 203,805.56

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Solution

The third proportional to 98,402.06 and 203,805.56 is: 422,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,402.06 : 203,805.56 = 203,805.56 : x
  2. Step 2: Convert to fraction form
    98,402.06/203,805.56 = 203,805.56/x
  3. Step 3: Cross multiply
    98,402.06x = 203,805.56 × 203,805.56
  4. Step 4: Simplify right side
    98,402.06x = 41,536,707,305.94
  5. Step 5: Solve for x
    x = 41,536,707,305.94/98,402.06
  6. Step 6: Final answer
    x = 422,112.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.