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Finding the Third Proportional to 399,392 and 860,992

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Solution

The third proportional to 399,392 and 860,992 is: 1,856,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,392 : 860,992 = 860,992 : x
  2. Step 2: Convert to fraction form
    399,392/860,992 = 860,992/x
  3. Step 3: Cross multiply
    399,392x = 860,992 × 860,992
  4. Step 4: Simplify right side
    399,392x = 741,307,224,064
  5. Step 5: Solve for x
    x = 741,307,224,064/399,392
  6. Step 6: Final answer
    x = 1,856,089.32

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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.