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Finding the Third Proportional to 7,828 and 13,020

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Solution

The third proportional to 7,828 and 13,020 is: 21,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828 : 13,020 = 13,020 : x
  2. Step 2: Convert to fraction form
    7,828/13,020 = 13,020/x
  3. Step 3: Cross multiply
    7,828x = 13,020 × 13,020
  4. Step 4: Simplify right side
    7,828x = 169,520,400
  5. Step 5: Solve for x
    x = 169,520,400/7,828
  6. Step 6: Final answer
    x = 21,655.65

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.