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Finding the Third Proportional to 19,430 and 41,691

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Solution

The third proportional to 19,430 and 41,691 is: 89,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430 : 41,691 = 41,691 : x
  2. Step 2: Convert to fraction form
    19,430/41,691 = 41,691/x
  3. Step 3: Cross multiply
    19,430x = 41,691 × 41,691
  4. Step 4: Simplify right side
    19,430x = 1,738,139,481
  5. Step 5: Solve for x
    x = 1,738,139,481/19,430
  6. Step 6: Final answer
    x = 89,456.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.