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Finding the Third Proportional to 138,620 and 223,242

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Solution

The third proportional to 138,620 and 223,242 is: 359,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,620 : 223,242 = 223,242 : x
  2. Step 2: Convert to fraction form
    138,620/223,242 = 223,242/x
  3. Step 3: Cross multiply
    138,620x = 223,242 × 223,242
  4. Step 4: Simplify right side
    138,620x = 49,836,990,564
  5. Step 5: Solve for x
    x = 49,836,990,564/138,620
  6. Step 6: Final answer
    x = 359,522.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.