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Finding the Third Proportional to 121,790 and 262,966

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Solution

The third proportional to 121,790 and 262,966 is: 567,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,790 : 262,966 = 262,966 : x
  2. Step 2: Convert to fraction form
    121,790/262,966 = 262,966/x
  3. Step 3: Cross multiply
    121,790x = 262,966 × 262,966
  4. Step 4: Simplify right side
    121,790x = 69,151,117,156
  5. Step 5: Solve for x
    x = 69,151,117,156/121,790
  6. Step 6: Final answer
    x = 567,789.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.