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Finding the Third Proportional to 33,989 and 52,497

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Solution

The third proportional to 33,989 and 52,497 is: 81,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989 : 52,497 = 52,497 : x
  2. Step 2: Convert to fraction form
    33,989/52,497 = 52,497/x
  3. Step 3: Cross multiply
    33,989x = 52,497 × 52,497
  4. Step 4: Simplify right side
    33,989x = 2,755,935,009
  5. Step 5: Solve for x
    x = 2,755,935,009/33,989
  6. Step 6: Final answer
    x = 81,083.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.