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Finding the Third Proportional to 20,414 and 29,921

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Solution

The third proportional to 20,414 and 29,921 is: 43,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 29,921 = 29,921 : x
  2. Step 2: Convert to fraction form
    20,414/29,921 = 29,921/x
  3. Step 3: Cross multiply
    20,414x = 29,921 × 29,921
  4. Step 4: Simplify right side
    20,414x = 895,266,241
  5. Step 5: Solve for x
    x = 895,266,241/20,414
  6. Step 6: Final answer
    x = 43,855.50

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.