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Finding the Third Proportional to 389,174 and 854,968

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Solution

The third proportional to 389,174 and 854,968 is: 1,878,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,174 : 854,968 = 854,968 : x
  2. Step 2: Convert to fraction form
    389,174/854,968 = 854,968/x
  3. Step 3: Cross multiply
    389,174x = 854,968 × 854,968
  4. Step 4: Simplify right side
    389,174x = 730,970,281,024
  5. Step 5: Solve for x
    x = 730,970,281,024/389,174
  6. Step 6: Final answer
    x = 1,878,260.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.