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Finding the Third Proportional to 228,362 and 505,684

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Solution

The third proportional to 228,362 and 505,684 is: 1,119,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,362 : 505,684 = 505,684 : x
  2. Step 2: Convert to fraction form
    228,362/505,684 = 505,684/x
  3. Step 3: Cross multiply
    228,362x = 505,684 × 505,684
  4. Step 4: Simplify right side
    228,362x = 255,716,307,856
  5. Step 5: Solve for x
    x = 255,716,307,856/228,362
  6. Step 6: Final answer
    x = 1,119,784.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.