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Finding the Third Proportional to 285,486 and 620,167

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Solution

The third proportional to 285,486 and 620,167 is: 1,347,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,486 : 620,167 = 620,167 : x
  2. Step 2: Convert to fraction form
    285,486/620,167 = 620,167/x
  3. Step 3: Cross multiply
    285,486x = 620,167 × 620,167
  4. Step 4: Simplify right side
    285,486x = 384,607,107,889
  5. Step 5: Solve for x
    x = 384,607,107,889/285,486
  6. Step 6: Final answer
    x = 1,347,201.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.