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Finding the Third Proportional to 7,921 and 17,354

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Solution

The third proportional to 7,921 and 17,354 is: 38,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921 : 17,354 = 17,354 : x
  2. Step 2: Convert to fraction form
    7,921/17,354 = 17,354/x
  3. Step 3: Cross multiply
    7,921x = 17,354 × 17,354
  4. Step 4: Simplify right side
    7,921x = 301,161,316
  5. Step 5: Solve for x
    x = 301,161,316/7,921
  6. Step 6: Final answer
    x = 38,020.62

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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.