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Finding the Third Proportional to 33,681.80 and 56,133.42

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Solution

The third proportional to 33,681.80 and 56,133.42 is: 93,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681.80 : 56,133.42 = 56,133.42 : x
  2. Step 2: Convert to fraction form
    33,681.80/56,133.42 = 56,133.42/x
  3. Step 3: Cross multiply
    33,681.80x = 56,133.42 × 56,133.42
  4. Step 4: Simplify right side
    33,681.80x = 3,150,961,051.40
  5. Step 5: Solve for x
    x = 3,150,961,051.40/33,681.80
  6. Step 6: Final answer
    x = 93,550.86

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.