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Finding the Third Proportional to 284,584 and 620,684

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Solution

The third proportional to 284,584 and 620,684 is: 1,353,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,584 : 620,684 = 620,684 : x
  2. Step 2: Convert to fraction form
    284,584/620,684 = 620,684/x
  3. Step 3: Cross multiply
    284,584x = 620,684 × 620,684
  4. Step 4: Simplify right side
    284,584x = 385,248,627,856
  5. Step 5: Solve for x
    x = 385,248,627,856/284,584
  6. Step 6: Final answer
    x = 1,353,725.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.