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Finding the Third Proportional to 8,839.13 and 18,685.69

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Solution

The third proportional to 8,839.13 and 18,685.69 is: 39,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.13 : 18,685.69 = 18,685.69 : x
  2. Step 2: Convert to fraction form
    8,839.13/18,685.69 = 18,685.69/x
  3. Step 3: Cross multiply
    8,839.13x = 18,685.69 × 18,685.69
  4. Step 4: Simplify right side
    8,839.13x = 349,154,917.35
  5. Step 5: Solve for x
    x = 349,154,917.35/8,839.13
  6. Step 6: Final answer
    x = 39,501.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.