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Finding the Third Proportional to 20,518 and 31,395

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Solution

The third proportional to 20,518 and 31,395 is: 48,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518 : 31,395 = 31,395 : x
  2. Step 2: Convert to fraction form
    20,518/31,395 = 31,395/x
  3. Step 3: Cross multiply
    20,518x = 31,395 × 31,395
  4. Step 4: Simplify right side
    20,518x = 985,646,025
  5. Step 5: Solve for x
    x = 985,646,025/20,518
  6. Step 6: Final answer
    x = 48,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.