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Finding the Third Proportional to 15,764 and 17,396

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Solution

The third proportional to 15,764 and 17,396 is: 19,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764 : 17,396 = 17,396 : x
  2. Step 2: Convert to fraction form
    15,764/17,396 = 17,396/x
  3. Step 3: Cross multiply
    15,764x = 17,396 × 17,396
  4. Step 4: Simplify right side
    15,764x = 302,620,816
  5. Step 5: Solve for x
    x = 302,620,816/15,764
  6. Step 6: Final answer
    x = 19,196.96

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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.