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Finding the Third Proportional to 55,652 and 131,239

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Solution

The third proportional to 55,652 and 131,239 is: 309,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652 : 131,239 = 131,239 : x
  2. Step 2: Convert to fraction form
    55,652/131,239 = 131,239/x
  3. Step 3: Cross multiply
    55,652x = 131,239 × 131,239
  4. Step 4: Simplify right side
    55,652x = 17,223,675,121
  5. Step 5: Solve for x
    x = 17,223,675,121/55,652
  6. Step 6: Final answer
    x = 309,488.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.