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Finding the Third Proportional to 283,178 and 617,872

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Solution

The third proportional to 283,178 and 617,872 is: 1,348,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,178 : 617,872 = 617,872 : x
  2. Step 2: Convert to fraction form
    283,178/617,872 = 617,872/x
  3. Step 3: Cross multiply
    283,178x = 617,872 × 617,872
  4. Step 4: Simplify right side
    283,178x = 381,765,808,384
  5. Step 5: Solve for x
    x = 381,765,808,384/283,178
  6. Step 6: Final answer
    x = 1,348,147.84

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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.