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Finding the Third Proportional to 505,920 and 676,992

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Solution

The third proportional to 505,920 and 676,992 is: 905,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,920 : 676,992 = 676,992 : x
  2. Step 2: Convert to fraction form
    505,920/676,992 = 676,992/x
  3. Step 3: Cross multiply
    505,920x = 676,992 × 676,992
  4. Step 4: Simplify right side
    505,920x = 458,318,168,064
  5. Step 5: Solve for x
    x = 458,318,168,064/505,920
  6. Step 6: Final answer
    x = 905,910.36

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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.