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Finding the Third Proportional to 129,170 and 173,586

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Solution

The third proportional to 129,170 and 173,586 is: 233,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,170 : 173,586 = 173,586 : x
  2. Step 2: Convert to fraction form
    129,170/173,586 = 173,586/x
  3. Step 3: Cross multiply
    129,170x = 173,586 × 173,586
  4. Step 4: Simplify right side
    129,170x = 30,132,099,396
  5. Step 5: Solve for x
    x = 30,132,099,396/129,170
  6. Step 6: Final answer
    x = 233,274.75

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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.