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Finding the Third Proportional to 252,512 and 544,192

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Solution

The third proportional to 252,512 and 544,192 is: 1,172,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,512 : 544,192 = 544,192 : x
  2. Step 2: Convert to fraction form
    252,512/544,192 = 544,192/x
  3. Step 3: Cross multiply
    252,512x = 544,192 × 544,192
  4. Step 4: Simplify right side
    252,512x = 296,144,932,864
  5. Step 5: Solve for x
    x = 296,144,932,864/252,512
  6. Step 6: Final answer
    x = 1,172,795.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.