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Finding the Third Proportional to 9,646 and 14,573

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Solution

The third proportional to 9,646 and 14,573 is: 22,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646 : 14,573 = 14,573 : x
  2. Step 2: Convert to fraction form
    9,646/14,573 = 14,573/x
  3. Step 3: Cross multiply
    9,646x = 14,573 × 14,573
  4. Step 4: Simplify right side
    9,646x = 212,372,329
  5. Step 5: Solve for x
    x = 212,372,329/9,646
  6. Step 6: Final answer
    x = 22,016.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.