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Finding the Third Proportional to 254,306 and 311,168

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Solution

The third proportional to 254,306 and 311,168 is: 380,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,306 : 311,168 = 311,168 : x
  2. Step 2: Convert to fraction form
    254,306/311,168 = 311,168/x
  3. Step 3: Cross multiply
    254,306x = 311,168 × 311,168
  4. Step 4: Simplify right side
    254,306x = 96,825,524,224
  5. Step 5: Solve for x
    x = 96,825,524,224/254,306
  6. Step 6: Final answer
    x = 380,744.16

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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.