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Finding the Third Proportional to 54,520 and 117,640

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Solution

The third proportional to 54,520 and 117,640 is: 253,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,520 : 117,640 = 117,640 : x
  2. Step 2: Convert to fraction form
    54,520/117,640 = 117,640/x
  3. Step 3: Cross multiply
    54,520x = 117,640 × 117,640
  4. Step 4: Simplify right side
    54,520x = 13,839,169,600
  5. Step 5: Solve for x
    x = 13,839,169,600/54,520
  6. Step 6: Final answer
    x = 253,836.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.