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Finding the Third Proportional to 421,839 and 911,043

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Solution

The third proportional to 421,839 and 911,043 is: 1,967,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,839 : 911,043 = 911,043 : x
  2. Step 2: Convert to fraction form
    421,839/911,043 = 911,043/x
  3. Step 3: Cross multiply
    421,839x = 911,043 × 911,043
  4. Step 4: Simplify right side
    421,839x = 829,999,347,849
  5. Step 5: Solve for x
    x = 829,999,347,849/421,839
  6. Step 6: Final answer
    x = 1,967,573.76

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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.