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Finding the Third Proportional to 80,426.25 and 133,275.38

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Solution

The third proportional to 80,426.25 and 133,275.38 is: 220,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,426.25 : 133,275.38 = 133,275.38 : x
  2. Step 2: Convert to fraction form
    80,426.25/133,275.38 = 133,275.38/x
  3. Step 3: Cross multiply
    80,426.25x = 133,275.38 × 133,275.38
  4. Step 4: Simplify right side
    80,426.25x = 17,762,325,581.39
  5. Step 5: Solve for x
    x = 17,762,325,581.39/80,426.25
  6. Step 6: Final answer
    x = 220,852.34

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.