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Finding the Third Proportional to 20,837 and 31,258

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Solution

The third proportional to 20,837 and 31,258 is: 46,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,837 : 31,258 = 31,258 : x
  2. Step 2: Convert to fraction form
    20,837/31,258 = 31,258/x
  3. Step 3: Cross multiply
    20,837x = 31,258 × 31,258
  4. Step 4: Simplify right side
    20,837x = 977,062,564
  5. Step 5: Solve for x
    x = 977,062,564/20,837
  6. Step 6: Final answer
    x = 46,890.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.