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Finding the Third Proportional to 13,214 and 19,821

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Solution

The third proportional to 13,214 and 19,821 is: 29,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214 : 19,821 = 19,821 : x
  2. Step 2: Convert to fraction form
    13,214/19,821 = 19,821/x
  3. Step 3: Cross multiply
    13,214x = 19,821 × 19,821
  4. Step 4: Simplify right side
    13,214x = 392,872,041
  5. Step 5: Solve for x
    x = 392,872,041/13,214
  6. Step 6: Final answer
    x = 29,731.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.