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Finding the Third Proportional to 130,869 and 201,285

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Solution

The third proportional to 130,869 and 201,285 is: 309,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,869 : 201,285 = 201,285 : x
  2. Step 2: Convert to fraction form
    130,869/201,285 = 201,285/x
  3. Step 3: Cross multiply
    130,869x = 201,285 × 201,285
  4. Step 4: Simplify right side
    130,869x = 40,515,651,225
  5. Step 5: Solve for x
    x = 40,515,651,225/130,869
  6. Step 6: Final answer
    x = 309,589.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.