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Finding the Third Proportional to 221,116 and 350,690

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Solution

The third proportional to 221,116 and 350,690 is: 556,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,116 : 350,690 = 350,690 : x
  2. Step 2: Convert to fraction form
    221,116/350,690 = 350,690/x
  3. Step 3: Cross multiply
    221,116x = 350,690 × 350,690
  4. Step 4: Simplify right side
    221,116x = 122,983,476,100
  5. Step 5: Solve for x
    x = 122,983,476,100/221,116
  6. Step 6: Final answer
    x = 556,194.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.