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Finding the Third Proportional to 17,720 and 19,556

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Solution

The third proportional to 17,720 and 19,556 is: 21,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720 : 19,556 = 19,556 : x
  2. Step 2: Convert to fraction form
    17,720/19,556 = 19,556/x
  3. Step 3: Cross multiply
    17,720x = 19,556 × 19,556
  4. Step 4: Simplify right side
    17,720x = 382,437,136
  5. Step 5: Solve for x
    x = 382,437,136/17,720
  6. Step 6: Final answer
    x = 21,582.23

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.