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Finding the Third Proportional to 395,920 and 854,000

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Solution

The third proportional to 395,920 and 854,000 is: 1,842,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,920 : 854,000 = 854,000 : x
  2. Step 2: Convert to fraction form
    395,920/854,000 = 854,000/x
  3. Step 3: Cross multiply
    395,920x = 854,000 × 854,000
  4. Step 4: Simplify right side
    395,920x = 729,316,000,000
  5. Step 5: Solve for x
    x = 729,316,000,000/395,920
  6. Step 6: Final answer
    x = 1,842,079.21

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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.