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Finding the Third Proportional to 61,357 and 133,819

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Solution

The third proportional to 61,357 and 133,819 is: 291,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357 : 133,819 = 133,819 : x
  2. Step 2: Convert to fraction form
    61,357/133,819 = 133,819/x
  3. Step 3: Cross multiply
    61,357x = 133,819 × 133,819
  4. Step 4: Simplify right side
    61,357x = 17,907,524,761
  5. Step 5: Solve for x
    x = 17,907,524,761/61,357
  6. Step 6: Final answer
    x = 291,857.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.