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Finding the Third Proportional to 53,982 and 117,790

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Solution

The third proportional to 53,982 and 117,790 is: 257,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,982 : 117,790 = 117,790 : x
  2. Step 2: Convert to fraction form
    53,982/117,790 = 117,790/x
  3. Step 3: Cross multiply
    53,982x = 117,790 × 117,790
  4. Step 4: Simplify right side
    53,982x = 13,874,484,100
  5. Step 5: Solve for x
    x = 13,874,484,100/53,982
  6. Step 6: Final answer
    x = 257,020.56

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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.