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Finding the Third Proportional to 53,559 and 113,138

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Solution

The third proportional to 53,559 and 113,138 is: 238,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,559 : 113,138 = 113,138 : x
  2. Step 2: Convert to fraction form
    53,559/113,138 = 113,138/x
  3. Step 3: Cross multiply
    53,559x = 113,138 × 113,138
  4. Step 4: Simplify right side
    53,559x = 12,800,207,044
  5. Step 5: Solve for x
    x = 12,800,207,044/53,559
  6. Step 6: Final answer
    x = 238,992.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.