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Finding the Third Proportional to 8,616.38 and 17,771.63

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Solution

The third proportional to 8,616.38 and 17,771.63 is: 36,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.38 : 17,771.63 = 17,771.63 : x
  2. Step 2: Convert to fraction form
    8,616.38/17,771.63 = 17,771.63/x
  3. Step 3: Cross multiply
    8,616.38x = 17,771.63 × 17,771.63
  4. Step 4: Simplify right side
    8,616.38x = 315,830,655.14
  5. Step 5: Solve for x
    x = 315,830,655.14/8,616.38
  6. Step 6: Final answer
    x = 36,654.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.