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Finding the Third Proportional to 167,364 and 256,390

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Solution

The third proportional to 167,364 and 256,390 is: 392,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,364 : 256,390 = 256,390 : x
  2. Step 2: Convert to fraction form
    167,364/256,390 = 256,390/x
  3. Step 3: Cross multiply
    167,364x = 256,390 × 256,390
  4. Step 4: Simplify right side
    167,364x = 65,735,832,100
  5. Step 5: Solve for x
    x = 65,735,832,100/167,364
  6. Step 6: Final answer
    x = 392,771.64

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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.