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Finding the Third Proportional to 138,165.43 and 304,163.86

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Solution

The third proportional to 138,165.43 and 304,163.86 is: 669,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.43 : 304,163.86 = 304,163.86 : x
  2. Step 2: Convert to fraction form
    138,165.43/304,163.86 = 304,163.86/x
  3. Step 3: Cross multiply
    138,165.43x = 304,163.86 × 304,163.86
  4. Step 4: Simplify right side
    138,165.43x = 92,515,653,349.89
  5. Step 5: Solve for x
    x = 92,515,653,349.89/138,165.43
  6. Step 6: Final answer
    x = 669,600.57

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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.