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Finding the Third Proportional to 283,692 and 612,215

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Solution

The third proportional to 283,692 and 612,215 is: 1,321,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,692 : 612,215 = 612,215 : x
  2. Step 2: Convert to fraction form
    283,692/612,215 = 612,215/x
  3. Step 3: Cross multiply
    283,692x = 612,215 × 612,215
  4. Step 4: Simplify right side
    283,692x = 374,807,206,225
  5. Step 5: Solve for x
    x = 374,807,206,225/283,692
  6. Step 6: Final answer
    x = 1,321,176.51

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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.