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Finding the Third Proportional to 33,007.50 and 71,275.78

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Solution

The third proportional to 33,007.50 and 71,275.78 is: 153,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.50 : 71,275.78 = 71,275.78 : x
  2. Step 2: Convert to fraction form
    33,007.50/71,275.78 = 71,275.78/x
  3. Step 3: Cross multiply
    33,007.50x = 71,275.78 × 71,275.78
  4. Step 4: Simplify right side
    33,007.50x = 5,080,236,992.80
  5. Step 5: Solve for x
    x = 5,080,236,992.80/33,007.50
  6. Step 6: Final answer
    x = 153,911.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.