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Finding the Third Proportional to 8,712.56 and 17,622.56

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Solution

The third proportional to 8,712.56 and 17,622.56 is: 35,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.56 : 17,622.56 = 17,622.56 : x
  2. Step 2: Convert to fraction form
    8,712.56/17,622.56 = 17,622.56/x
  3. Step 3: Cross multiply
    8,712.56x = 17,622.56 × 17,622.56
  4. Step 4: Simplify right side
    8,712.56x = 310,554,709.07
  5. Step 5: Solve for x
    x = 310,554,709.07/8,712.56
  6. Step 6: Final answer
    x = 35,644.47

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.