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Finding the Third Proportional to 8,605.13 and 18,849.38

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Solution

The third proportional to 8,605.13 and 18,849.38 is: 41,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.13 : 18,849.38 = 18,849.38 : x
  2. Step 2: Convert to fraction form
    8,605.13/18,849.38 = 18,849.38/x
  3. Step 3: Cross multiply
    8,605.13x = 18,849.38 × 18,849.38
  4. Step 4: Simplify right side
    8,605.13x = 355,298,937.89
  5. Step 5: Solve for x
    x = 355,298,937.89/8,605.13
  6. Step 6: Final answer
    x = 41,289.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.