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Finding the Third Proportional to 93,493 and 202,759

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Solution

The third proportional to 93,493 and 202,759 is: 439,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,493 : 202,759 = 202,759 : x
  2. Step 2: Convert to fraction form
    93,493/202,759 = 202,759/x
  3. Step 3: Cross multiply
    93,493x = 202,759 × 202,759
  4. Step 4: Simplify right side
    93,493x = 41,111,212,081
  5. Step 5: Solve for x
    x = 41,111,212,081/93,493
  6. Step 6: Final answer
    x = 439,725.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.