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Finding the Third Proportional to 821,228.63 and 1,098,511.88

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Solution

The third proportional to 821,228.63 and 1,098,511.88 is: 1,469,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,228.63 : 1,098,511.88 = 1,098,511.88 : x
  2. Step 2: Convert to fraction form
    821,228.63/1,098,511.88 = 1,098,511.88/x
  3. Step 3: Cross multiply
    821,228.63x = 1,098,511.88 × 1,098,511.88
  4. Step 4: Simplify right side
    821,228.63x = 1,206,728,339,516.02
  5. Step 5: Solve for x
    x = 1,206,728,339,516.02/821,228.63
  6. Step 6: Final answer
    x = 1,469,418.26

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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.