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Finding the Third Proportional to 283,690 and 612,211

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Solution

The third proportional to 283,690 and 612,211 is: 1,321,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,690 : 612,211 = 612,211 : x
  2. Step 2: Convert to fraction form
    283,690/612,211 = 612,211/x
  3. Step 3: Cross multiply
    283,690x = 612,211 × 612,211
  4. Step 4: Simplify right side
    283,690x = 374,802,308,521
  5. Step 5: Solve for x
    x = 374,802,308,521/283,690
  6. Step 6: Final answer
    x = 1,321,168.56

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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.