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Finding the Third Proportional to 121,243 and 263,222

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Solution

The third proportional to 121,243 and 263,222 is: 571,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,243 : 263,222 = 263,222 : x
  2. Step 2: Convert to fraction form
    121,243/263,222 = 263,222/x
  3. Step 3: Cross multiply
    121,243x = 263,222 × 263,222
  4. Step 4: Simplify right side
    121,243x = 69,285,821,284
  5. Step 5: Solve for x
    x = 69,285,821,284/121,243
  6. Step 6: Final answer
    x = 571,462.45

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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.