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Finding the Third Proportional to 9,711 and 21,429

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Solution

The third proportional to 9,711 and 21,429 is: 47,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 21,429 = 21,429 : x
  2. Step 2: Convert to fraction form
    9,711/21,429 = 21,429/x
  3. Step 3: Cross multiply
    9,711x = 21,429 × 21,429
  4. Step 4: Simplify right side
    9,711x = 459,202,041
  5. Step 5: Solve for x
    x = 459,202,041/9,711
  6. Step 6: Final answer
    x = 47,286.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.