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Finding the Third Proportional to 213,759 and 451,656

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Solution

The third proportional to 213,759 and 451,656 is: 954,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,759 : 451,656 = 451,656 : x
  2. Step 2: Convert to fraction form
    213,759/451,656 = 451,656/x
  3. Step 3: Cross multiply
    213,759x = 451,656 × 451,656
  4. Step 4: Simplify right side
    213,759x = 203,993,142,336
  5. Step 5: Solve for x
    x = 203,993,142,336/213,759
  6. Step 6: Final answer
    x = 954,313.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.