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Finding the Third Proportional to 9,121 and 19,889

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Solution

The third proportional to 9,121 and 19,889 is: 43,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121 : 19,889 = 19,889 : x
  2. Step 2: Convert to fraction form
    9,121/19,889 = 19,889/x
  3. Step 3: Cross multiply
    9,121x = 19,889 × 19,889
  4. Step 4: Simplify right side
    9,121x = 395,572,321
  5. Step 5: Solve for x
    x = 395,572,321/9,121
  6. Step 6: Final answer
    x = 43,369.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.