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Finding the Third Proportional to 421,844 and 911,052

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Solution

The third proportional to 421,844 and 911,052 is: 1,967,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,844 : 911,052 = 911,052 : x
  2. Step 2: Convert to fraction form
    421,844/911,052 = 911,052/x
  3. Step 3: Cross multiply
    421,844x = 911,052 × 911,052
  4. Step 4: Simplify right side
    421,844x = 830,015,746,704
  5. Step 5: Solve for x
    x = 830,015,746,704/421,844
  6. Step 6: Final answer
    x = 1,967,589.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.