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Finding the Third Proportional to 9,711 and 21,239

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Solution

The third proportional to 9,711 and 21,239 is: 46,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 21,239 = 21,239 : x
  2. Step 2: Convert to fraction form
    9,711/21,239 = 21,239/x
  3. Step 3: Cross multiply
    9,711x = 21,239 × 21,239
  4. Step 4: Simplify right side
    9,711x = 451,095,121
  5. Step 5: Solve for x
    x = 451,095,121/9,711
  6. Step 6: Final answer
    x = 46,451.97

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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.