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Finding the Third Proportional to 126,415 and 189,265

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Solution

The third proportional to 126,415 and 189,265 is: 283,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,415 : 189,265 = 189,265 : x
  2. Step 2: Convert to fraction form
    126,415/189,265 = 189,265/x
  3. Step 3: Cross multiply
    126,415x = 189,265 × 189,265
  4. Step 4: Simplify right side
    126,415x = 35,821,240,225
  5. Step 5: Solve for x
    x = 35,821,240,225/126,415
  6. Step 6: Final answer
    x = 283,362.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.