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Finding the Third Proportional to 648,869 and 867,958

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Solution

The third proportional to 648,869 and 867,958 is: 1,161,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,869 : 867,958 = 867,958 : x
  2. Step 2: Convert to fraction form
    648,869/867,958 = 867,958/x
  3. Step 3: Cross multiply
    648,869x = 867,958 × 867,958
  4. Step 4: Simplify right side
    648,869x = 753,351,089,764
  5. Step 5: Solve for x
    x = 753,351,089,764/648,869
  6. Step 6: Final answer
    x = 1,161,021.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.