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Finding the Third Proportional to 86,867 and 130,509

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Solution

The third proportional to 86,867 and 130,509 is: 196,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,867 : 130,509 = 130,509 : x
  2. Step 2: Convert to fraction form
    86,867/130,509 = 130,509/x
  3. Step 3: Cross multiply
    86,867x = 130,509 × 130,509
  4. Step 4: Simplify right side
    86,867x = 17,032,599,081
  5. Step 5: Solve for x
    x = 17,032,599,081/86,867
  6. Step 6: Final answer
    x = 196,076.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.