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Finding the Third Proportional to 273,852 and 408,942

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Solution

The third proportional to 273,852 and 408,942 is: 610,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,852 : 408,942 = 408,942 : x
  2. Step 2: Convert to fraction form
    273,852/408,942 = 408,942/x
  3. Step 3: Cross multiply
    273,852x = 408,942 × 408,942
  4. Step 4: Simplify right side
    273,852x = 167,233,559,364
  5. Step 5: Solve for x
    x = 167,233,559,364/273,852
  6. Step 6: Final answer
    x = 610,671.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.