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Finding the Third Proportional to 86,763 and 131,239

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Solution

The third proportional to 86,763 and 131,239 is: 198,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,763 : 131,239 = 131,239 : x
  2. Step 2: Convert to fraction form
    86,763/131,239 = 131,239/x
  3. Step 3: Cross multiply
    86,763x = 131,239 × 131,239
  4. Step 4: Simplify right side
    86,763x = 17,223,675,121
  5. Step 5: Solve for x
    x = 17,223,675,121/86,763
  6. Step 6: Final answer
    x = 198,514.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.