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Finding the Third Proportional to 9,728 and 16,640

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Solution

The third proportional to 9,728 and 16,640 is: 28,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728 : 16,640 = 16,640 : x
  2. Step 2: Convert to fraction form
    9,728/16,640 = 16,640/x
  3. Step 3: Cross multiply
    9,728x = 16,640 × 16,640
  4. Step 4: Simplify right side
    9,728x = 276,889,600
  5. Step 5: Solve for x
    x = 276,889,600/9,728
  6. Step 6: Final answer
    x = 28,463.16

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.