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Finding the Third Proportional to 222,642 and 311,445

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Solution

The third proportional to 222,642 and 311,445 is: 435,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642 : 311,445 = 311,445 : x
  2. Step 2: Convert to fraction form
    222,642/311,445 = 311,445/x
  3. Step 3: Cross multiply
    222,642x = 311,445 × 311,445
  4. Step 4: Simplify right side
    222,642x = 96,997,988,025
  5. Step 5: Solve for x
    x = 96,997,988,025/222,642
  6. Step 6: Final answer
    x = 435,667.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.