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Finding the Third Proportional to 213,615 and 504,258

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Solution

The third proportional to 213,615 and 504,258 is: 1,190,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615 : 504,258 = 504,258 : x
  2. Step 2: Convert to fraction form
    213,615/504,258 = 504,258/x
  3. Step 3: Cross multiply
    213,615x = 504,258 × 504,258
  4. Step 4: Simplify right side
    213,615x = 254,276,130,564
  5. Step 5: Solve for x
    x = 254,276,130,564/213,615
  6. Step 6: Final answer
    x = 1,190,347.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.