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Finding the Third Proportional to 105,809 and 230,542

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Solution

The third proportional to 105,809 and 230,542 is: 502,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,809 : 230,542 = 230,542 : x
  2. Step 2: Convert to fraction form
    105,809/230,542 = 230,542/x
  3. Step 3: Cross multiply
    105,809x = 230,542 × 230,542
  4. Step 4: Simplify right side
    105,809x = 53,149,613,764
  5. Step 5: Solve for x
    x = 53,149,613,764/105,809
  6. Step 6: Final answer
    x = 502,316.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.