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Finding the Third Proportional to 121,724 and 263,996

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Solution

The third proportional to 121,724 and 263,996 is: 572,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,724 : 263,996 = 263,996 : x
  2. Step 2: Convert to fraction form
    121,724/263,996 = 263,996/x
  3. Step 3: Cross multiply
    121,724x = 263,996 × 263,996
  4. Step 4: Simplify right side
    121,724x = 69,693,888,016
  5. Step 5: Solve for x
    x = 69,693,888,016/121,724
  6. Step 6: Final answer
    x = 572,556.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.