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Finding the Third Proportional to 8,979.61 and 19,724.77

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Solution

The third proportional to 8,979.61 and 19,724.77 is: 43,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,979.61 : 19,724.77 = 19,724.77 : x
  2. Step 2: Convert to fraction form
    8,979.61/19,724.77 = 19,724.77/x
  3. Step 3: Cross multiply
    8,979.61x = 19,724.77 × 19,724.77
  4. Step 4: Simplify right side
    8,979.61x = 389,066,378.96
  5. Step 5: Solve for x
    x = 389,066,378.96/8,979.61
  6. Step 6: Final answer
    x = 43,327.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.