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Finding the Third Proportional to 78,416 and 171,049

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Solution

The third proportional to 78,416 and 171,049 is: 373,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416 : 171,049 = 171,049 : x
  2. Step 2: Convert to fraction form
    78,416/171,049 = 171,049/x
  3. Step 3: Cross multiply
    78,416x = 171,049 × 171,049
  4. Step 4: Simplify right side
    78,416x = 29,257,760,401
  5. Step 5: Solve for x
    x = 29,257,760,401/78,416
  6. Step 6: Final answer
    x = 373,109.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.