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Finding the Third Proportional to 128,811 and 282,016

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Solution

The third proportional to 128,811 and 282,016 is: 617,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,811 : 282,016 = 282,016 : x
  2. Step 2: Convert to fraction form
    128,811/282,016 = 282,016/x
  3. Step 3: Cross multiply
    128,811x = 282,016 × 282,016
  4. Step 4: Simplify right side
    128,811x = 79,533,024,256
  5. Step 5: Solve for x
    x = 79,533,024,256/128,811
  6. Step 6: Final answer
    x = 617,439.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.