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Finding the Third Proportional to 86,168 and 129,343

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Solution

The third proportional to 86,168 and 129,343 is: 194,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,168 : 129,343 = 129,343 : x
  2. Step 2: Convert to fraction form
    86,168/129,343 = 129,343/x
  3. Step 3: Cross multiply
    86,168x = 129,343 × 129,343
  4. Step 4: Simplify right side
    86,168x = 16,729,611,649
  5. Step 5: Solve for x
    x = 16,729,611,649/86,168
  6. Step 6: Final answer
    x = 194,151.10

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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.