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Finding the Third Proportional to 284,015 and 612,317

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Solution

The third proportional to 284,015 and 612,317 is: 1,320,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,015 : 612,317 = 612,317 : x
  2. Step 2: Convert to fraction form
    284,015/612,317 = 612,317/x
  3. Step 3: Cross multiply
    284,015x = 612,317 × 612,317
  4. Step 4: Simplify right side
    284,015x = 374,932,108,489
  5. Step 5: Solve for x
    x = 374,932,108,489/284,015
  6. Step 6: Final answer
    x = 1,320,113.76

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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.