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Finding the Third Proportional to 4,017.38 and 8,684.63

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Solution

The third proportional to 4,017.38 and 8,684.63 is: 18,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.38 : 8,684.63 = 8,684.63 : x
  2. Step 2: Convert to fraction form
    4,017.38/8,684.63 = 8,684.63/x
  3. Step 3: Cross multiply
    4,017.38x = 8,684.63 × 8,684.63
  4. Step 4: Simplify right side
    4,017.38x = 75,422,711.39
  5. Step 5: Solve for x
    x = 75,422,711.39/4,017.38
  6. Step 6: Final answer
    x = 18,774.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.