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Finding the Third Proportional to 7,929 and 17,919

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Solution

The third proportional to 7,929 and 17,919 is: 40,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929 : 17,919 = 17,919 : x
  2. Step 2: Convert to fraction form
    7,929/17,919 = 17,919/x
  3. Step 3: Cross multiply
    7,929x = 17,919 × 17,919
  4. Step 4: Simplify right side
    7,929x = 321,090,561
  5. Step 5: Solve for x
    x = 321,090,561/7,929
  6. Step 6: Final answer
    x = 40,495.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.