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Finding the Third Proportional to 186,869 and 247,620

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Solution

The third proportional to 186,869 and 247,620 is: 328,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,869 : 247,620 = 247,620 : x
  2. Step 2: Convert to fraction form
    186,869/247,620 = 247,620/x
  3. Step 3: Cross multiply
    186,869x = 247,620 × 247,620
  4. Step 4: Simplify right side
    186,869x = 61,315,664,400
  5. Step 5: Solve for x
    x = 61,315,664,400/186,869
  6. Step 6: Final answer
    x = 328,121.11

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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.