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Finding the Third Proportional to 7,782.75 and 17,857.13

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Solution

The third proportional to 7,782.75 and 17,857.13 is: 40,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.75 : 17,857.13 = 17,857.13 : x
  2. Step 2: Convert to fraction form
    7,782.75/17,857.13 = 17,857.13/x
  3. Step 3: Cross multiply
    7,782.75x = 17,857.13 × 17,857.13
  4. Step 4: Simplify right side
    7,782.75x = 318,876,913.27
  5. Step 5: Solve for x
    x = 318,876,913.27/7,782.75
  6. Step 6: Final answer
    x = 40,972.27

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.