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Finding the Third Proportional to 20,287 and 31,201

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Solution

The third proportional to 20,287 and 31,201 is: 47,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287 : 31,201 = 31,201 : x
  2. Step 2: Convert to fraction form
    20,287/31,201 = 31,201/x
  3. Step 3: Cross multiply
    20,287x = 31,201 × 31,201
  4. Step 4: Simplify right side
    20,287x = 973,502,401
  5. Step 5: Solve for x
    x = 973,502,401/20,287
  6. Step 6: Final answer
    x = 47,986.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.