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Finding the Third Proportional to 11,430 and 17,175

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Solution

The third proportional to 11,430 and 17,175 is: 25,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430 : 17,175 = 17,175 : x
  2. Step 2: Convert to fraction form
    11,430/17,175 = 17,175/x
  3. Step 3: Cross multiply
    11,430x = 17,175 × 17,175
  4. Step 4: Simplify right side
    11,430x = 294,980,625
  5. Step 5: Solve for x
    x = 294,980,625/11,430
  6. Step 6: Final answer
    x = 25,807.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.