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Finding the Third Proportional to 121,869 and 182,803.50

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Solution

The third proportional to 121,869 and 182,803.50 is: 274,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,869 : 182,803.50 = 182,803.50 : x
  2. Step 2: Convert to fraction form
    121,869/182,803.50 = 182,803.50/x
  3. Step 3: Cross multiply
    121,869x = 182,803.50 × 182,803.50
  4. Step 4: Simplify right side
    121,869x = 33,417,119,612.25
  5. Step 5: Solve for x
    x = 33,417,119,612.25/121,869
  6. Step 6: Final answer
    x = 274,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.