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Finding the Third Proportional to 398,307 and 860,001

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Solution

The third proportional to 398,307 and 860,001 is: 1,856,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,307 : 860,001 = 860,001 : x
  2. Step 2: Convert to fraction form
    398,307/860,001 = 860,001/x
  3. Step 3: Cross multiply
    398,307x = 860,001 × 860,001
  4. Step 4: Simplify right side
    398,307x = 739,601,720,001
  5. Step 5: Solve for x
    x = 739,601,720,001/398,307
  6. Step 6: Final answer
    x = 1,856,863.47

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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.