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Finding the Third Proportional to 284,805 and 606,420

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Solution

The third proportional to 284,805 and 606,420 is: 1,291,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,805 : 606,420 = 606,420 : x
  2. Step 2: Convert to fraction form
    284,805/606,420 = 606,420/x
  3. Step 3: Cross multiply
    284,805x = 606,420 × 606,420
  4. Step 4: Simplify right side
    284,805x = 367,745,216,400
  5. Step 5: Solve for x
    x = 367,745,216,400/284,805
  6. Step 6: Final answer
    x = 1,291,217.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.