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Finding the Third Proportional to 8,721.84 and 18,920.54

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Solution

The third proportional to 8,721.84 and 18,920.54 is: 41,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.84 : 18,920.54 = 18,920.54 : x
  2. Step 2: Convert to fraction form
    8,721.84/18,920.54 = 18,920.54/x
  3. Step 3: Cross multiply
    8,721.84x = 18,920.54 × 18,920.54
  4. Step 4: Simplify right side
    8,721.84x = 357,986,835.37
  5. Step 5: Solve for x
    x = 357,986,835.37/8,721.84
  6. Step 6: Final answer
    x = 41,044.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.