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Finding the Third Proportional to 53,590 and 113,193

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Solution

The third proportional to 53,590 and 113,193 is: 239,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,590 : 113,193 = 113,193 : x
  2. Step 2: Convert to fraction form
    53,590/113,193 = 113,193/x
  3. Step 3: Cross multiply
    53,590x = 113,193 × 113,193
  4. Step 4: Simplify right side
    53,590x = 12,812,655,249
  5. Step 5: Solve for x
    x = 12,812,655,249/53,590
  6. Step 6: Final answer
    x = 239,086.68

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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.