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Finding the Third Proportional to 96,807 and 208,448

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Solution

The third proportional to 96,807 and 208,448 is: 448,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,807 : 208,448 = 208,448 : x
  2. Step 2: Convert to fraction form
    96,807/208,448 = 208,448/x
  3. Step 3: Cross multiply
    96,807x = 208,448 × 208,448
  4. Step 4: Simplify right side
    96,807x = 43,450,568,704
  5. Step 5: Solve for x
    x = 43,450,568,704/96,807
  6. Step 6: Final answer
    x = 448,837.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.