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Finding the Third Proportional to 136,660 and 297,256

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Solution

The third proportional to 136,660 and 297,256 is: 646,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,660 : 297,256 = 297,256 : x
  2. Step 2: Convert to fraction form
    136,660/297,256 = 297,256/x
  3. Step 3: Cross multiply
    136,660x = 297,256 × 297,256
  4. Step 4: Simplify right side
    136,660x = 88,361,129,536
  5. Step 5: Solve for x
    x = 88,361,129,536/136,660
  6. Step 6: Final answer
    x = 646,576.39

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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.