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Finding the Third Proportional to 93,485 and 202,744

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Solution

The third proportional to 93,485 and 202,744 is: 439,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,485 : 202,744 = 202,744 : x
  2. Step 2: Convert to fraction form
    93,485/202,744 = 202,744/x
  3. Step 3: Cross multiply
    93,485x = 202,744 × 202,744
  4. Step 4: Simplify right side
    93,485x = 41,105,129,536
  5. Step 5: Solve for x
    x = 41,105,129,536/93,485
  6. Step 6: Final answer
    x = 439,697.59

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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.