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Finding the Third Proportional to 305,292 and 449,110

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Solution

The third proportional to 305,292 and 449,110 is: 660,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,292 : 449,110 = 449,110 : x
  2. Step 2: Convert to fraction form
    305,292/449,110 = 449,110/x
  3. Step 3: Cross multiply
    305,292x = 449,110 × 449,110
  4. Step 4: Simplify right side
    305,292x = 201,699,792,100
  5. Step 5: Solve for x
    x = 201,699,792,100/305,292
  6. Step 6: Final answer
    x = 660,678.28

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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.