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Finding the Third Proportional to 200,869 and 437,620

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Solution

The third proportional to 200,869 and 437,620 is: 953,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869 : 437,620 = 437,620 : x
  2. Step 2: Convert to fraction form
    200,869/437,620 = 437,620/x
  3. Step 3: Cross multiply
    200,869x = 437,620 × 437,620
  4. Step 4: Simplify right side
    200,869x = 191,511,264,400
  5. Step 5: Solve for x
    x = 191,511,264,400/200,869
  6. Step 6: Final answer
    x = 953,413.74

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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.