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Finding the Third Proportional to 284,638 and 611,486

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Solution

The third proportional to 284,638 and 611,486 is: 1,313,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,638 : 611,486 = 611,486 : x
  2. Step 2: Convert to fraction form
    284,638/611,486 = 611,486/x
  3. Step 3: Cross multiply
    284,638x = 611,486 × 611,486
  4. Step 4: Simplify right side
    284,638x = 373,915,128,196
  5. Step 5: Solve for x
    x = 373,915,128,196/284,638
  6. Step 6: Final answer
    x = 1,313,651.47

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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.