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Finding the Third Proportional to 309,223 and 665,191

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Solution

The third proportional to 309,223 and 665,191 is: 1,430,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,223 : 665,191 = 665,191 : x
  2. Step 2: Convert to fraction form
    309,223/665,191 = 665,191/x
  3. Step 3: Cross multiply
    309,223x = 665,191 × 665,191
  4. Step 4: Simplify right side
    309,223x = 442,479,066,481
  5. Step 5: Solve for x
    x = 442,479,066,481/309,223
  6. Step 6: Final answer
    x = 1,430,938.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.