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Finding the Third Proportional to 138,208.15 and 208,287.07

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Solution

The third proportional to 138,208.15 and 208,287.07 is: 313,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,208.15 : 208,287.07 = 208,287.07 : x
  2. Step 2: Convert to fraction form
    138,208.15/208,287.07 = 208,287.07/x
  3. Step 3: Cross multiply
    138,208.15x = 208,287.07 × 208,287.07
  4. Step 4: Simplify right side
    138,208.15x = 43,383,503,659.36
  5. Step 5: Solve for x
    x = 43,383,503,659.36/138,208.15
  6. Step 6: Final answer
    x = 313,899.75

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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.