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Finding the Third Proportional to 20,110 and 31,315

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Solution

The third proportional to 20,110 and 31,315 is: 48,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110 : 31,315 = 31,315 : x
  2. Step 2: Convert to fraction form
    20,110/31,315 = 31,315/x
  3. Step 3: Cross multiply
    20,110x = 31,315 × 31,315
  4. Step 4: Simplify right side
    20,110x = 980,629,225
  5. Step 5: Solve for x
    x = 980,629,225/20,110
  6. Step 6: Final answer
    x = 48,763.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.