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Finding the Third Proportional to 128,968.88 and 208,932.75

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Solution

The third proportional to 128,968.88 and 208,932.75 is: 338,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,968.88 : 208,932.75 = 208,932.75 : x
  2. Step 2: Convert to fraction form
    128,968.88/208,932.75 = 208,932.75/x
  3. Step 3: Cross multiply
    128,968.88x = 208,932.75 × 208,932.75
  4. Step 4: Simplify right side
    128,968.88x = 43,652,894,022.56
  5. Step 5: Solve for x
    x = 43,652,894,022.56/128,968.88
  6. Step 6: Final answer
    x = 338,476.19

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.