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Finding the Third Proportional to 185,109 and 399,014

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Solution

The third proportional to 185,109 and 399,014 is: 860,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109 : 399,014 = 399,014 : x
  2. Step 2: Convert to fraction form
    185,109/399,014 = 399,014/x
  3. Step 3: Cross multiply
    185,109x = 399,014 × 399,014
  4. Step 4: Simplify right side
    185,109x = 159,212,172,196
  5. Step 5: Solve for x
    x = 159,212,172,196/185,109
  6. Step 6: Final answer
    x = 860,099.57

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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.