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Finding the Third Proportional to 15,554 and 17,822

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Solution

The third proportional to 15,554 and 17,822 is: 20,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,554 : 17,822 = 17,822 : x
  2. Step 2: Convert to fraction form
    15,554/17,822 = 17,822/x
  3. Step 3: Cross multiply
    15,554x = 17,822 × 17,822
  4. Step 4: Simplify right side
    15,554x = 317,623,684
  5. Step 5: Solve for x
    x = 317,623,684/15,554
  6. Step 6: Final answer
    x = 20,420.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.