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Finding the Third Proportional to 131,137 and 273,343

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Solution

The third proportional to 131,137 and 273,343 is: 569,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,137 : 273,343 = 273,343 : x
  2. Step 2: Convert to fraction form
    131,137/273,343 = 273,343/x
  3. Step 3: Cross multiply
    131,137x = 273,343 × 273,343
  4. Step 4: Simplify right side
    131,137x = 74,716,395,649
  5. Step 5: Solve for x
    x = 74,716,395,649/131,137
  6. Step 6: Final answer
    x = 569,758.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.