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Finding the Third Proportional to 20,395 and 31,358

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Solution

The third proportional to 20,395 and 31,358 is: 48,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,395 : 31,358 = 31,358 : x
  2. Step 2: Convert to fraction form
    20,395/31,358 = 31,358/x
  3. Step 3: Cross multiply
    20,395x = 31,358 × 31,358
  4. Step 4: Simplify right side
    20,395x = 983,324,164
  5. Step 5: Solve for x
    x = 983,324,164/20,395
  6. Step 6: Final answer
    x = 48,213.98

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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.