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Finding the Third Proportional to 54,640 and 115,160

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Solution

The third proportional to 54,640 and 115,160 is: 242,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,640 : 115,160 = 115,160 : x
  2. Step 2: Convert to fraction form
    54,640/115,160 = 115,160/x
  3. Step 3: Cross multiply
    54,640x = 115,160 × 115,160
  4. Step 4: Simplify right side
    54,640x = 13,261,825,600
  5. Step 5: Solve for x
    x = 13,261,825,600/54,640
  6. Step 6: Final answer
    x = 242,712.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.