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Finding the Third Proportional to 106,086 and 230,577

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Solution

The third proportional to 106,086 and 230,577 is: 501,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086 : 230,577 = 230,577 : x
  2. Step 2: Convert to fraction form
    106,086/230,577 = 230,577/x
  3. Step 3: Cross multiply
    106,086x = 230,577 × 230,577
  4. Step 4: Simplify right side
    106,086x = 53,165,752,929
  5. Step 5: Solve for x
    x = 53,165,752,929/106,086
  6. Step 6: Final answer
    x = 501,157.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.