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Finding the Third Proportional to 398,226.38 and 859,845.38

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Solution

The third proportional to 398,226.38 and 859,845.38 is: 1,856,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,226.38 : 859,845.38 = 859,845.38 : x
  2. Step 2: Convert to fraction form
    398,226.38/859,845.38 = 859,845.38/x
  3. Step 3: Cross multiply
    398,226.38x = 859,845.38 × 859,845.38
  4. Step 4: Simplify right side
    398,226.38x = 739,334,068,908.89
  5. Step 5: Solve for x
    x = 739,334,068,908.89/398,226.38
  6. Step 6: Final answer
    x = 1,856,567.31

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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.