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Finding the Third Proportional to 254,302 and 311,164

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Solution

The third proportional to 254,302 and 311,164 is: 380,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,302 : 311,164 = 311,164 : x
  2. Step 2: Convert to fraction form
    254,302/311,164 = 311,164/x
  3. Step 3: Cross multiply
    254,302x = 311,164 × 311,164
  4. Step 4: Simplify right side
    254,302x = 96,823,034,896
  5. Step 5: Solve for x
    x = 96,823,034,896/254,302
  6. Step 6: Final answer
    x = 380,740.36

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.