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Finding the Third Proportional to 71,371 and 153,704

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Solution

The third proportional to 71,371 and 153,704 is: 331,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371 : 153,704 = 153,704 : x
  2. Step 2: Convert to fraction form
    71,371/153,704 = 153,704/x
  3. Step 3: Cross multiply
    71,371x = 153,704 × 153,704
  4. Step 4: Simplify right side
    71,371x = 23,624,919,616
  5. Step 5: Solve for x
    x = 23,624,919,616/71,371
  6. Step 6: Final answer
    x = 331,015.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.