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Finding the Third Proportional to 80,860 and 115,786

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Solution

The third proportional to 80,860 and 115,786 is: 165,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,860 : 115,786 = 115,786 : x
  2. Step 2: Convert to fraction form
    80,860/115,786 = 115,786/x
  3. Step 3: Cross multiply
    80,860x = 115,786 × 115,786
  4. Step 4: Simplify right side
    80,860x = 13,406,397,796
  5. Step 5: Solve for x
    x = 13,406,397,796/80,860
  6. Step 6: Final answer
    x = 165,797.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.