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Finding the Third Proportional to 20,114 and 31,115

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Solution

The third proportional to 20,114 and 31,115 is: 48,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 31,115 = 31,115 : x
  2. Step 2: Convert to fraction form
    20,114/31,115 = 31,115/x
  3. Step 3: Cross multiply
    20,114x = 31,115 × 31,115
  4. Step 4: Simplify right side
    20,114x = 968,143,225
  5. Step 5: Solve for x
    x = 968,143,225/20,114
  6. Step 6: Final answer
    x = 48,132.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.