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Finding the Third Proportional to 253,877 and 557,576

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Solution

The third proportional to 253,877 and 557,576 is: 1,224,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,877 : 557,576 = 557,576 : x
  2. Step 2: Convert to fraction form
    253,877/557,576 = 557,576/x
  3. Step 3: Cross multiply
    253,877x = 557,576 × 557,576
  4. Step 4: Simplify right side
    253,877x = 310,890,995,776
  5. Step 5: Solve for x
    x = 310,890,995,776/253,877
  6. Step 6: Final answer
    x = 1,224,573.30

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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.