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Finding the Third Proportional to 19,989 and 41,588

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Solution

The third proportional to 19,989 and 41,588 is: 86,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989 : 41,588 = 41,588 : x
  2. Step 2: Convert to fraction form
    19,989/41,588 = 41,588/x
  3. Step 3: Cross multiply
    19,989x = 41,588 × 41,588
  4. Step 4: Simplify right side
    19,989x = 1,729,561,744
  5. Step 5: Solve for x
    x = 1,729,561,744/19,989
  6. Step 6: Final answer
    x = 86,525.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.