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Finding the Third Proportional to 5,636.81 and 8,406.84

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Solution

The third proportional to 5,636.81 and 8,406.84 is: 12,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.81 : 8,406.84 = 8,406.84 : x
  2. Step 2: Convert to fraction form
    5,636.81/8,406.84 = 8,406.84/x
  3. Step 3: Cross multiply
    5,636.81x = 8,406.84 × 8,406.84
  4. Step 4: Simplify right side
    5,636.81x = 70,675,021.84
  5. Step 5: Solve for x
    x = 70,675,021.84/5,636.81
  6. Step 6: Final answer
    x = 12,538.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.