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Finding the Third Proportional to 3,536.25 and 7,752.56

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Solution

The third proportional to 3,536.25 and 7,752.56 is: 16,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.25 : 7,752.56 = 7,752.56 : x
  2. Step 2: Convert to fraction form
    3,536.25/7,752.56 = 7,752.56/x
  3. Step 3: Cross multiply
    3,536.25x = 7,752.56 × 7,752.56
  4. Step 4: Simplify right side
    3,536.25x = 60,102,225.32
  5. Step 5: Solve for x
    x = 60,102,225.32/3,536.25
  6. Step 6: Final answer
    x = 16,996.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.