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Finding the Third Proportional to 677,869 and 899,620

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Solution

The third proportional to 677,869 and 899,620 is: 1,193,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,869 : 899,620 = 899,620 : x
  2. Step 2: Convert to fraction form
    677,869/899,620 = 899,620/x
  3. Step 3: Cross multiply
    677,869x = 899,620 × 899,620
  4. Step 4: Simplify right side
    677,869x = 809,316,144,400
  5. Step 5: Solve for x
    x = 809,316,144,400/677,869
  6. Step 6: Final answer
    x = 1,193,912.31

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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.