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Finding the Third Proportional to 7,821.75 and 16,782.56

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Solution

The third proportional to 7,821.75 and 16,782.56 is: 36,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.75 : 16,782.56 = 16,782.56 : x
  2. Step 2: Convert to fraction form
    7,821.75/16,782.56 = 16,782.56/x
  3. Step 3: Cross multiply
    7,821.75x = 16,782.56 × 16,782.56
  4. Step 4: Simplify right side
    7,821.75x = 281,654,404.07
  5. Step 5: Solve for x
    x = 281,654,404.07/7,821.75
  6. Step 6: Final answer
    x = 36,009.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.