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Finding the Third Proportional to 253,864 and 557,554

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Solution

The third proportional to 253,864 and 557,554 is: 1,224,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,864 : 557,554 = 557,554 : x
  2. Step 2: Convert to fraction form
    253,864/557,554 = 557,554/x
  3. Step 3: Cross multiply
    253,864x = 557,554 × 557,554
  4. Step 4: Simplify right side
    253,864x = 310,866,462,916
  5. Step 5: Solve for x
    x = 310,866,462,916/253,864
  6. Step 6: Final answer
    x = 1,224,539.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.