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Finding the Third Proportional to 86,765 and 131,240

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Solution

The third proportional to 86,765 and 131,240 is: 198,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,765 : 131,240 = 131,240 : x
  2. Step 2: Convert to fraction form
    86,765/131,240 = 131,240/x
  3. Step 3: Cross multiply
    86,765x = 131,240 × 131,240
  4. Step 4: Simplify right side
    86,765x = 17,223,937,600
  5. Step 5: Solve for x
    x = 17,223,937,600/86,765
  6. Step 6: Final answer
    x = 198,512.51

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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.