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Finding the Third Proportional to 7,270 and 17,505

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Solution

The third proportional to 7,270 and 17,505 is: 42,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270 : 17,505 = 17,505 : x
  2. Step 2: Convert to fraction form
    7,270/17,505 = 17,505/x
  3. Step 3: Cross multiply
    7,270x = 17,505 × 17,505
  4. Step 4: Simplify right side
    7,270x = 306,425,025
  5. Step 5: Solve for x
    x = 306,425,025/7,270
  6. Step 6: Final answer
    x = 42,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.