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Finding the Third Proportional to 228,970 and 350,286

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Solution

The third proportional to 228,970 and 350,286 is: 535,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,970 : 350,286 = 350,286 : x
  2. Step 2: Convert to fraction form
    228,970/350,286 = 350,286/x
  3. Step 3: Cross multiply
    228,970x = 350,286 × 350,286
  4. Step 4: Simplify right side
    228,970x = 122,700,281,796
  5. Step 5: Solve for x
    x = 122,700,281,796/228,970
  6. Step 6: Final answer
    x = 535,879.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.