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Finding the Third Proportional to 121,237 and 263,210

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Solution

The third proportional to 121,237 and 263,210 is: 571,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,237 : 263,210 = 263,210 : x
  2. Step 2: Convert to fraction form
    121,237/263,210 = 263,210/x
  3. Step 3: Cross multiply
    121,237x = 263,210 × 263,210
  4. Step 4: Simplify right side
    121,237x = 69,279,504,100
  5. Step 5: Solve for x
    x = 69,279,504,100/121,237
  6. Step 6: Final answer
    x = 571,438.62

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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.