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Finding the Third Proportional to 8,565.75 and 18,976.78

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Solution

The third proportional to 8,565.75 and 18,976.78 is: 42,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 18,976.78 = 18,976.78 : x
  2. Step 2: Convert to fraction form
    8,565.75/18,976.78 = 18,976.78/x
  3. Step 3: Cross multiply
    8,565.75x = 18,976.78 × 18,976.78
  4. Step 4: Simplify right side
    8,565.75x = 360,118,226.61
  5. Step 5: Solve for x
    x = 360,118,226.61/8,565.75
  6. Step 6: Final answer
    x = 42,041.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.