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Finding the Third Proportional to 90,309.56 and 198,495.38

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Solution

The third proportional to 90,309.56 and 198,495.38 is: 436,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,309.56 : 198,495.38 = 198,495.38 : x
  2. Step 2: Convert to fraction form
    90,309.56/198,495.38 = 198,495.38/x
  3. Step 3: Cross multiply
    90,309.56x = 198,495.38 × 198,495.38
  4. Step 4: Simplify right side
    90,309.56x = 39,400,413,896.39
  5. Step 5: Solve for x
    x = 39,400,413,896.39/90,309.56
  6. Step 6: Final answer
    x = 436,281.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.