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Finding the Third Proportional to 7,821.56 and 16,979.63

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Solution

The third proportional to 7,821.56 and 16,979.63 is: 36,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.56 : 16,979.63 = 16,979.63 : x
  2. Step 2: Convert to fraction form
    7,821.56/16,979.63 = 16,979.63/x
  3. Step 3: Cross multiply
    7,821.56x = 16,979.63 × 16,979.63
  4. Step 4: Simplify right side
    7,821.56x = 288,307,665.14
  5. Step 5: Solve for x
    x = 288,307,665.14/7,821.56
  6. Step 6: Final answer
    x = 36,860.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.