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Finding the Third Proportional to 86,226 and 129,456

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Solution

The third proportional to 86,226 and 129,456 is: 194,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,226 : 129,456 = 129,456 : x
  2. Step 2: Convert to fraction form
    86,226/129,456 = 129,456/x
  3. Step 3: Cross multiply
    86,226x = 129,456 × 129,456
  4. Step 4: Simplify right side
    86,226x = 16,758,855,936
  5. Step 5: Solve for x
    x = 16,758,855,936/86,226
  6. Step 6: Final answer
    x = 194,359.66

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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.