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Finding the Third Proportional to 133,682.63 and 208,725.75

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Solution

The third proportional to 133,682.63 and 208,725.75 is: 325,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,682.63 : 208,725.75 = 208,725.75 : x
  2. Step 2: Convert to fraction form
    133,682.63/208,725.75 = 208,725.75/x
  3. Step 3: Cross multiply
    133,682.63x = 208,725.75 × 208,725.75
  4. Step 4: Simplify right side
    133,682.63x = 43,566,438,713.06
  5. Step 5: Solve for x
    x = 43,566,438,713.06/133,682.63
  6. Step 6: Final answer
    x = 325,894.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.