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Finding the Third Proportional to 54,940 and 118,640

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Solution

The third proportional to 54,940 and 118,640 is: 256,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940 : 118,640 = 118,640 : x
  2. Step 2: Convert to fraction form
    54,940/118,640 = 118,640/x
  3. Step 3: Cross multiply
    54,940x = 118,640 × 118,640
  4. Step 4: Simplify right side
    54,940x = 14,075,449,600
  5. Step 5: Solve for x
    x = 14,075,449,600/54,940
  6. Step 6: Final answer
    x = 256,196.75

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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.