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Finding the Third Proportional to 12,128 and 15,568

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Solution

The third proportional to 12,128 and 15,568 is: 19,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128 : 15,568 = 15,568 : x
  2. Step 2: Convert to fraction form
    12,128/15,568 = 15,568/x
  3. Step 3: Cross multiply
    12,128x = 15,568 × 15,568
  4. Step 4: Simplify right side
    12,128x = 242,362,624
  5. Step 5: Solve for x
    x = 242,362,624/12,128
  6. Step 6: Final answer
    x = 19,983.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.