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Finding the Third Proportional to 284,672 and 613,328

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Solution

The third proportional to 284,672 and 613,328 is: 1,321,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,672 : 613,328 = 613,328 : x
  2. Step 2: Convert to fraction form
    284,672/613,328 = 613,328/x
  3. Step 3: Cross multiply
    284,672x = 613,328 × 613,328
  4. Step 4: Simplify right side
    284,672x = 376,171,235,584
  5. Step 5: Solve for x
    x = 376,171,235,584/284,672
  6. Step 6: Final answer
    x = 1,321,419.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.