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Finding the Third Proportional to 102,630 and 213,324

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Solution

The third proportional to 102,630 and 213,324 is: 443,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,630 : 213,324 = 213,324 : x
  2. Step 2: Convert to fraction form
    102,630/213,324 = 213,324/x
  3. Step 3: Cross multiply
    102,630x = 213,324 × 213,324
  4. Step 4: Simplify right side
    102,630x = 45,507,128,976
  5. Step 5: Solve for x
    x = 45,507,128,976/102,630
  6. Step 6: Final answer
    x = 443,409.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.