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Finding the Third Proportional to 310,869 and 412,635

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Solution

The third proportional to 310,869 and 412,635 is: 547,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 412,635 = 412,635 : x
  2. Step 2: Convert to fraction form
    310,869/412,635 = 412,635/x
  3. Step 3: Cross multiply
    310,869x = 412,635 × 412,635
  4. Step 4: Simplify right side
    310,869x = 170,267,643,225
  5. Step 5: Solve for x
    x = 170,267,643,225/310,869
  6. Step 6: Final answer
    x = 547,715.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.