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Finding the Third Proportional to 20,336.25 and 30,396

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Solution

The third proportional to 20,336.25 and 30,396 is: 45,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,336.25 : 30,396 = 30,396 : x
  2. Step 2: Convert to fraction form
    20,336.25/30,396 = 30,396/x
  3. Step 3: Cross multiply
    20,336.25x = 30,396 × 30,396
  4. Step 4: Simplify right side
    20,336.25x = 923,916,816
  5. Step 5: Solve for x
    x = 923,916,816/20,336.25
  6. Step 6: Final answer
    x = 45,432.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.