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Finding the Third Proportional to 9,137 and 19,841

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Solution

The third proportional to 9,137 and 19,841 is: 43,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 19,841 = 19,841 : x
  2. Step 2: Convert to fraction form
    9,137/19,841 = 19,841/x
  3. Step 3: Cross multiply
    9,137x = 19,841 × 19,841
  4. Step 4: Simplify right side
    9,137x = 393,665,281
  5. Step 5: Solve for x
    x = 393,665,281/9,137
  6. Step 6: Final answer
    x = 43,084.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.