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Finding the Third Proportional to 398,241 and 859,815

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Solution

The third proportional to 398,241 and 859,815 is: 1,856,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,241 : 859,815 = 859,815 : x
  2. Step 2: Convert to fraction form
    398,241/859,815 = 859,815/x
  3. Step 3: Cross multiply
    398,241x = 859,815 × 859,815
  4. Step 4: Simplify right side
    398,241x = 739,281,834,225
  5. Step 5: Solve for x
    x = 739,281,834,225/398,241
  6. Step 6: Final answer
    x = 1,856,367.96

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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.