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Finding the Third Proportional to 8,429.06 and 20,358.84

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Solution

The third proportional to 8,429.06 and 20,358.84 is: 49,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.06 : 20,358.84 = 20,358.84 : x
  2. Step 2: Convert to fraction form
    8,429.06/20,358.84 = 20,358.84/x
  3. Step 3: Cross multiply
    8,429.06x = 20,358.84 × 20,358.84
  4. Step 4: Simplify right side
    8,429.06x = 414,482,518.84
  5. Step 5: Solve for x
    x = 414,482,518.84/8,429.06
  6. Step 6: Final answer
    x = 49,173.03

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.