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Finding the Third Proportional to 138,234.09 and 208,620.56

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Solution

The third proportional to 138,234.09 and 208,620.56 is: 314,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,234.09 : 208,620.56 = 208,620.56 : x
  2. Step 2: Convert to fraction form
    138,234.09/208,620.56 = 208,620.56/x
  3. Step 3: Cross multiply
    138,234.09x = 208,620.56 × 208,620.56
  4. Step 4: Simplify right side
    138,234.09x = 43,522,539,097.82
  5. Step 5: Solve for x
    x = 43,522,539,097.82/138,234.09
  6. Step 6: Final answer
    x = 314,846.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.