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Finding the Third Proportional to 20,930.50 and 31,396

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Solution

The third proportional to 20,930.50 and 31,396 is: 47,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.50 : 31,396 = 31,396 : x
  2. Step 2: Convert to fraction form
    20,930.50/31,396 = 31,396/x
  3. Step 3: Cross multiply
    20,930.50x = 31,396 × 31,396
  4. Step 4: Simplify right side
    20,930.50x = 985,708,816
  5. Step 5: Solve for x
    x = 985,708,816/20,930.50
  6. Step 6: Final answer
    x = 47,094.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.