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Finding the Third Proportional to 121,493 and 262,954

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Solution

The third proportional to 121,493 and 262,954 is: 569,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,493 : 262,954 = 262,954 : x
  2. Step 2: Convert to fraction form
    121,493/262,954 = 262,954/x
  3. Step 3: Cross multiply
    121,493x = 262,954 × 262,954
  4. Step 4: Simplify right side
    121,493x = 69,144,806,116
  5. Step 5: Solve for x
    x = 69,144,806,116/121,493
  6. Step 6: Final answer
    x = 569,125.84

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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.