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Finding the Third Proportional to 221,121 and 350,698

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Solution

The third proportional to 221,121 and 350,698 is: 556,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,121 : 350,698 = 350,698 : x
  2. Step 2: Convert to fraction form
    221,121/350,698 = 350,698/x
  3. Step 3: Cross multiply
    221,121x = 350,698 × 350,698
  4. Step 4: Simplify right side
    221,121x = 122,989,087,204
  5. Step 5: Solve for x
    x = 122,989,087,204/221,121
  6. Step 6: Final answer
    x = 556,207.18

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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.