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Finding the Third Proportional to 389,856 and 854,166

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Solution

The third proportional to 389,856 and 854,166 is: 1,871,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,856 : 854,166 = 854,166 : x
  2. Step 2: Convert to fraction form
    389,856/854,166 = 854,166/x
  3. Step 3: Cross multiply
    389,856x = 854,166 × 854,166
  4. Step 4: Simplify right side
    389,856x = 729,599,555,556
  5. Step 5: Solve for x
    x = 729,599,555,556/389,856
  6. Step 6: Final answer
    x = 1,871,459.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.