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Finding the Third Proportional to 133,852 and 248,552

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Solution

The third proportional to 133,852 and 248,552 is: 461,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852 : 248,552 = 248,552 : x
  2. Step 2: Convert to fraction form
    133,852/248,552 = 248,552/x
  3. Step 3: Cross multiply
    133,852x = 248,552 × 248,552
  4. Step 4: Simplify right side
    133,852x = 61,778,096,704
  5. Step 5: Solve for x
    x = 61,778,096,704/133,852
  6. Step 6: Final answer
    x = 461,540.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.