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Finding the Third Proportional to 20,121 and 29,409

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Solution

The third proportional to 20,121 and 29,409 is: 42,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 29,409 = 29,409 : x
  2. Step 2: Convert to fraction form
    20,121/29,409 = 29,409/x
  3. Step 3: Cross multiply
    20,121x = 29,409 × 29,409
  4. Step 4: Simplify right side
    20,121x = 864,889,281
  5. Step 5: Solve for x
    x = 864,889,281/20,121
  6. Step 6: Final answer
    x = 42,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.