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Finding the Third Proportional to 284,938 and 670,410

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Solution

The third proportional to 284,938 and 670,410 is: 1,577,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,938 : 670,410 = 670,410 : x
  2. Step 2: Convert to fraction form
    284,938/670,410 = 670,410/x
  3. Step 3: Cross multiply
    284,938x = 670,410 × 670,410
  4. Step 4: Simplify right side
    284,938x = 449,449,568,100
  5. Step 5: Solve for x
    x = 449,449,568,100/284,938
  6. Step 6: Final answer
    x = 1,577,359.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.