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Finding the Third Proportional to 168,485 and 253,412

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Solution

The third proportional to 168,485 and 253,412 is: 381,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,485 : 253,412 = 253,412 : x
  2. Step 2: Convert to fraction form
    168,485/253,412 = 253,412/x
  3. Step 3: Cross multiply
    168,485x = 253,412 × 253,412
  4. Step 4: Simplify right side
    168,485x = 64,217,641,744
  5. Step 5: Solve for x
    x = 64,217,641,744/168,485
  6. Step 6: Final answer
    x = 381,147.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.