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Finding the Third Proportional to 128,133 and 280,399

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Solution

The third proportional to 128,133 and 280,399 is: 613,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,133 : 280,399 = 280,399 : x
  2. Step 2: Convert to fraction form
    128,133/280,399 = 280,399/x
  3. Step 3: Cross multiply
    128,133x = 280,399 × 280,399
  4. Step 4: Simplify right side
    128,133x = 78,623,599,201
  5. Step 5: Solve for x
    x = 78,623,599,201/128,133
  6. Step 6: Final answer
    x = 613,609.29

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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.