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Finding the Third Proportional to 71,416 and 168,868

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Solution

The third proportional to 71,416 and 168,868 is: 399,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,416 : 168,868 = 168,868 : x
  2. Step 2: Convert to fraction form
    71,416/168,868 = 168,868/x
  3. Step 3: Cross multiply
    71,416x = 168,868 × 168,868
  4. Step 4: Simplify right side
    71,416x = 28,516,401,424
  5. Step 5: Solve for x
    x = 28,516,401,424/71,416
  6. Step 6: Final answer
    x = 399,299.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.