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Finding the Third Proportional to 53,021 and 115,372

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Solution

The third proportional to 53,021 and 115,372 is: 251,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,021 : 115,372 = 115,372 : x
  2. Step 2: Convert to fraction form
    53,021/115,372 = 115,372/x
  3. Step 3: Cross multiply
    53,021x = 115,372 × 115,372
  4. Step 4: Simplify right side
    53,021x = 13,310,698,384
  5. Step 5: Solve for x
    x = 13,310,698,384/53,021
  6. Step 6: Final answer
    x = 251,045.78

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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.