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Finding the Third Proportional to 305,223 and 449,010

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Solution

The third proportional to 305,223 and 449,010 is: 660,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223 : 449,010 = 449,010 : x
  2. Step 2: Convert to fraction form
    305,223/449,010 = 449,010/x
  3. Step 3: Cross multiply
    305,223x = 449,010 × 449,010
  4. Step 4: Simplify right side
    305,223x = 201,609,980,100
  5. Step 5: Solve for x
    x = 201,609,980,100/305,223
  6. Step 6: Final answer
    x = 660,533.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.