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Finding the Third Proportional to 18,174 and 37,509

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Solution

The third proportional to 18,174 and 37,509 is: 77,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,174 : 37,509 = 37,509 : x
  2. Step 2: Convert to fraction form
    18,174/37,509 = 37,509/x
  3. Step 3: Cross multiply
    18,174x = 37,509 × 37,509
  4. Step 4: Simplify right side
    18,174x = 1,406,925,081
  5. Step 5: Solve for x
    x = 1,406,925,081/18,174
  6. Step 6: Final answer
    x = 77,414.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.