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Finding the Third Proportional to 33,306.19 and 64,926.56

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Solution

The third proportional to 33,306.19 and 64,926.56 is: 126,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306.19 : 64,926.56 = 64,926.56 : x
  2. Step 2: Convert to fraction form
    33,306.19/64,926.56 = 64,926.56/x
  3. Step 3: Cross multiply
    33,306.19x = 64,926.56 × 64,926.56
  4. Step 4: Simplify right side
    33,306.19x = 4,215,458,518.07
  5. Step 5: Solve for x
    x = 4,215,458,518.07/33,306.19
  6. Step 6: Final answer
    x = 126,566.83

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.