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Finding the Third Proportional to 20,127 and 30,631

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Solution

The third proportional to 20,127 and 30,631 is: 46,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127 : 30,631 = 30,631 : x
  2. Step 2: Convert to fraction form
    20,127/30,631 = 30,631/x
  3. Step 3: Cross multiply
    20,127x = 30,631 × 30,631
  4. Step 4: Simplify right side
    20,127x = 938,258,161
  5. Step 5: Solve for x
    x = 938,258,161/20,127
  6. Step 6: Final answer
    x = 46,616.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.