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Finding the Third Proportional to 7,700 and 17,128

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Solution

The third proportional to 7,700 and 17,128 is: 38,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 17,128 = 17,128 : x
  2. Step 2: Convert to fraction form
    7,700/17,128 = 17,128/x
  3. Step 3: Cross multiply
    7,700x = 17,128 × 17,128
  4. Step 4: Simplify right side
    7,700x = 293,368,384
  5. Step 5: Solve for x
    x = 293,368,384/7,700
  6. Step 6: Final answer
    x = 38,099.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.