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Finding the Third Proportional to 109,067 and 230,709

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Solution

The third proportional to 109,067 and 230,709 is: 488,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,067 : 230,709 = 230,709 : x
  2. Step 2: Convert to fraction form
    109,067/230,709 = 230,709/x
  3. Step 3: Cross multiply
    109,067x = 230,709 × 230,709
  4. Step 4: Simplify right side
    109,067x = 53,226,642,681
  5. Step 5: Solve for x
    x = 53,226,642,681/109,067
  6. Step 6: Final answer
    x = 488,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.