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Finding the Third Proportional to 222,489 and 477,378

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Solution

The third proportional to 222,489 and 477,378 is: 1,024,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,489 : 477,378 = 477,378 : x
  2. Step 2: Convert to fraction form
    222,489/477,378 = 477,378/x
  3. Step 3: Cross multiply
    222,489x = 477,378 × 477,378
  4. Step 4: Simplify right side
    222,489x = 227,889,754,884
  5. Step 5: Solve for x
    x = 227,889,754,884/222,489
  6. Step 6: Final answer
    x = 1,024,274.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.