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Finding the Third Proportional to 86,232 and 129,668

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Solution

The third proportional to 86,232 and 129,668 is: 194,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,232 : 129,668 = 129,668 : x
  2. Step 2: Convert to fraction form
    86,232/129,668 = 129,668/x
  3. Step 3: Cross multiply
    86,232x = 129,668 × 129,668
  4. Step 4: Simplify right side
    86,232x = 16,813,790,224
  5. Step 5: Solve for x
    x = 16,813,790,224/86,232
  6. Step 6: Final answer
    x = 194,983.19

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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.