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Finding the Third Proportional to 53,477 and 113,836

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Solution

The third proportional to 53,477 and 113,836 is: 242,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,477 : 113,836 = 113,836 : x
  2. Step 2: Convert to fraction form
    53,477/113,836 = 113,836/x
  3. Step 3: Cross multiply
    53,477x = 113,836 × 113,836
  4. Step 4: Simplify right side
    53,477x = 12,958,634,896
  5. Step 5: Solve for x
    x = 12,958,634,896/53,477
  6. Step 6: Final answer
    x = 242,321.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.