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Finding the Third Proportional to 3,497 and 7,630

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Solution

The third proportional to 3,497 and 7,630 is: 16,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497 : 7,630 = 7,630 : x
  2. Step 2: Convert to fraction form
    3,497/7,630 = 7,630/x
  3. Step 3: Cross multiply
    3,497x = 7,630 × 7,630
  4. Step 4: Simplify right side
    3,497x = 58,216,900
  5. Step 5: Solve for x
    x = 58,216,900/3,497
  6. Step 6: Final answer
    x = 16,647.67

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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.