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Finding the Third Proportional to 52,790 and 113,833

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Solution

The third proportional to 52,790 and 113,833 is: 245,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,790 : 113,833 = 113,833 : x
  2. Step 2: Convert to fraction form
    52,790/113,833 = 113,833/x
  3. Step 3: Cross multiply
    52,790x = 113,833 × 113,833
  4. Step 4: Simplify right side
    52,790x = 12,957,951,889
  5. Step 5: Solve for x
    x = 12,957,951,889/52,790
  6. Step 6: Final answer
    x = 245,462.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.