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Finding the Third Proportional to 3,651 and 7,970

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Solution

The third proportional to 3,651 and 7,970 is: 17,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651 : 7,970 = 7,970 : x
  2. Step 2: Convert to fraction form
    3,651/7,970 = 7,970/x
  3. Step 3: Cross multiply
    3,651x = 7,970 × 7,970
  4. Step 4: Simplify right side
    3,651x = 63,520,900
  5. Step 5: Solve for x
    x = 63,520,900/3,651
  6. Step 6: Final answer
    x = 17,398.22

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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.