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Finding the Third Proportional to 9,821 and 14,239

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Solution

The third proportional to 9,821 and 14,239 is: 20,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821 : 14,239 = 14,239 : x
  2. Step 2: Convert to fraction form
    9,821/14,239 = 14,239/x
  3. Step 3: Cross multiply
    9,821x = 14,239 × 14,239
  4. Step 4: Simplify right side
    9,821x = 202,749,121
  5. Step 5: Solve for x
    x = 202,749,121/9,821
  6. Step 6: Final answer
    x = 20,644.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.