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Finding the Third Proportional to 220,328 and 350,172

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Solution

The third proportional to 220,328 and 350,172 is: 556,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,328 : 350,172 = 350,172 : x
  2. Step 2: Convert to fraction form
    220,328/350,172 = 350,172/x
  3. Step 3: Cross multiply
    220,328x = 350,172 × 350,172
  4. Step 4: Simplify right side
    220,328x = 122,620,429,584
  5. Step 5: Solve for x
    x = 122,620,429,584/220,328
  6. Step 6: Final answer
    x = 556,535.84

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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.