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Finding the Third Proportional to 20,121 and 30,506

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Solution

The third proportional to 20,121 and 30,506 is: 46,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 30,506 = 30,506 : x
  2. Step 2: Convert to fraction form
    20,121/30,506 = 30,506/x
  3. Step 3: Cross multiply
    20,121x = 30,506 × 30,506
  4. Step 4: Simplify right side
    20,121x = 930,616,036
  5. Step 5: Solve for x
    x = 930,616,036/20,121
  6. Step 6: Final answer
    x = 46,250.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.