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Finding the Third Proportional to 253,975 and 558,089

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Solution

The third proportional to 253,975 and 558,089 is: 1,226,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,975 : 558,089 = 558,089 : x
  2. Step 2: Convert to fraction form
    253,975/558,089 = 558,089/x
  3. Step 3: Cross multiply
    253,975x = 558,089 × 558,089
  4. Step 4: Simplify right side
    253,975x = 311,463,331,921
  5. Step 5: Solve for x
    x = 311,463,331,921/253,975
  6. Step 6: Final answer
    x = 1,226,354.29

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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.