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Finding the Third Proportional to 13,083 and 19,815

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Solution

The third proportional to 13,083 and 19,815 is: 30,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083 : 19,815 = 19,815 : x
  2. Step 2: Convert to fraction form
    13,083/19,815 = 19,815/x
  3. Step 3: Cross multiply
    13,083x = 19,815 × 19,815
  4. Step 4: Simplify right side
    13,083x = 392,634,225
  5. Step 5: Solve for x
    x = 392,634,225/13,083
  6. Step 6: Final answer
    x = 30,011.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.