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Finding the Third Proportional to 8,690 and 13,822

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Solution

The third proportional to 8,690 and 13,822 is: 21,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690 : 13,822 = 13,822 : x
  2. Step 2: Convert to fraction form
    8,690/13,822 = 13,822/x
  3. Step 3: Cross multiply
    8,690x = 13,822 × 13,822
  4. Step 4: Simplify right side
    8,690x = 191,047,684
  5. Step 5: Solve for x
    x = 191,047,684/8,690
  6. Step 6: Final answer
    x = 21,984.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.