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Finding the Third Proportional to 136,680 and 295,824

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Solution

The third proportional to 136,680 and 295,824 is: 640,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,680 : 295,824 = 295,824 : x
  2. Step 2: Convert to fraction form
    136,680/295,824 = 295,824/x
  3. Step 3: Cross multiply
    136,680x = 295,824 × 295,824
  4. Step 4: Simplify right side
    136,680x = 87,511,838,976
  5. Step 5: Solve for x
    x = 87,511,838,976/136,680
  6. Step 6: Final answer
    x = 640,268.06

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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.