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Finding the Third Proportional to 226,620 and 317,628

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Solution

The third proportional to 226,620 and 317,628 is: 445,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,620 : 317,628 = 317,628 : x
  2. Step 2: Convert to fraction form
    226,620/317,628 = 317,628/x
  3. Step 3: Cross multiply
    226,620x = 317,628 × 317,628
  4. Step 4: Simplify right side
    226,620x = 100,887,546,384
  5. Step 5: Solve for x
    x = 100,887,546,384/226,620
  6. Step 6: Final answer
    x = 445,183.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.