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Finding the Third Proportional to 121,406 and 183,803

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Solution

The third proportional to 121,406 and 183,803 is: 278,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,406 : 183,803 = 183,803 : x
  2. Step 2: Convert to fraction form
    121,406/183,803 = 183,803/x
  3. Step 3: Cross multiply
    121,406x = 183,803 × 183,803
  4. Step 4: Simplify right side
    121,406x = 33,783,542,809
  5. Step 5: Solve for x
    x = 33,783,542,809/121,406
  6. Step 6: Final answer
    x = 278,269.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.