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Finding the Third Proportional to 86,122 and 115,731

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Solution

The third proportional to 86,122 and 115,731 is: 155,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122 : 115,731 = 115,731 : x
  2. Step 2: Convert to fraction form
    86,122/115,731 = 115,731/x
  3. Step 3: Cross multiply
    86,122x = 115,731 × 115,731
  4. Step 4: Simplify right side
    86,122x = 13,393,664,361
  5. Step 5: Solve for x
    x = 13,393,664,361/86,122
  6. Step 6: Final answer
    x = 155,519.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.