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Finding the Third Proportional to 138,969.42 and 230,007.09

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Solution

The third proportional to 138,969.42 and 230,007.09 is: 380,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969.42 : 230,007.09 = 230,007.09 : x
  2. Step 2: Convert to fraction form
    138,969.42/230,007.09 = 230,007.09/x
  3. Step 3: Cross multiply
    138,969.42x = 230,007.09 × 230,007.09
  4. Step 4: Simplify right side
    138,969.42x = 52,903,263,175.32
  5. Step 5: Solve for x
    x = 52,903,263,175.32/138,969.42
  6. Step 6: Final answer
    x = 380,682.76

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.