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Finding the Third Proportional to 221,811 and 344,094

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Solution

The third proportional to 221,811 and 344,094 is: 533,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,811 : 344,094 = 344,094 : x
  2. Step 2: Convert to fraction form
    221,811/344,094 = 344,094/x
  3. Step 3: Cross multiply
    221,811x = 344,094 × 344,094
  4. Step 4: Simplify right side
    221,811x = 118,400,680,836
  5. Step 5: Solve for x
    x = 118,400,680,836/221,811
  6. Step 6: Final answer
    x = 533,790.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.