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Finding the Third Proportional to 96,091.50 and 204,655.50

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Solution

The third proportional to 96,091.50 and 204,655.50 is: 435,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,091.50 : 204,655.50 = 204,655.50 : x
  2. Step 2: Convert to fraction form
    96,091.50/204,655.50 = 204,655.50/x
  3. Step 3: Cross multiply
    96,091.50x = 204,655.50 × 204,655.50
  4. Step 4: Simplify right side
    96,091.50x = 41,883,873,680.25
  5. Step 5: Solve for x
    x = 41,883,873,680.25/96,091.50
  6. Step 6: Final answer
    x = 435,874.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.