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Finding the Third Proportional to 20,288 and 30,135

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Solution

The third proportional to 20,288 and 30,135 is: 44,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288 : 30,135 = 30,135 : x
  2. Step 2: Convert to fraction form
    20,288/30,135 = 30,135/x
  3. Step 3: Cross multiply
    20,288x = 30,135 × 30,135
  4. Step 4: Simplify right side
    20,288x = 908,118,225
  5. Step 5: Solve for x
    x = 908,118,225/20,288
  6. Step 6: Final answer
    x = 44,761.35

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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.