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Finding the Third Proportional to 130,104 and 284,021

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Solution

The third proportional to 130,104 and 284,021 is: 620,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,104 : 284,021 = 284,021 : x
  2. Step 2: Convert to fraction form
    130,104/284,021 = 284,021/x
  3. Step 3: Cross multiply
    130,104x = 284,021 × 284,021
  4. Step 4: Simplify right side
    130,104x = 80,667,928,441
  5. Step 5: Solve for x
    x = 80,667,928,441/130,104
  6. Step 6: Final answer
    x = 620,026.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.