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Finding the Third Proportional to 8,617.64 and 13,316.91

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Solution

The third proportional to 8,617.64 and 13,316.91 is: 20,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.64 : 13,316.91 = 13,316.91 : x
  2. Step 2: Convert to fraction form
    8,617.64/13,316.91 = 13,316.91/x
  3. Step 3: Cross multiply
    8,617.64x = 13,316.91 × 13,316.91
  4. Step 4: Simplify right side
    8,617.64x = 177,339,992.07
  5. Step 5: Solve for x
    x = 177,339,992.07/8,617.64
  6. Step 6: Final answer
    x = 20,578.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.