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Finding the Third Proportional to 19,770 and 43,189

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Solution

The third proportional to 19,770 and 43,189 is: 94,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770 : 43,189 = 43,189 : x
  2. Step 2: Convert to fraction form
    19,770/43,189 = 43,189/x
  3. Step 3: Cross multiply
    19,770x = 43,189 × 43,189
  4. Step 4: Simplify right side
    19,770x = 1,865,289,721
  5. Step 5: Solve for x
    x = 1,865,289,721/19,770
  6. Step 6: Final answer
    x = 94,349.51

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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.