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Finding the Third Proportional to 9,429 and 20,319

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Solution

The third proportional to 9,429 and 20,319 is: 43,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429 : 20,319 = 20,319 : x
  2. Step 2: Convert to fraction form
    9,429/20,319 = 20,319/x
  3. Step 3: Cross multiply
    9,429x = 20,319 × 20,319
  4. Step 4: Simplify right side
    9,429x = 412,861,761
  5. Step 5: Solve for x
    x = 412,861,761/9,429
  6. Step 6: Final answer
    x = 43,786.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.