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Finding the Third Proportional to 117,174 and 276,489

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Solution

The third proportional to 117,174 and 276,489 is: 652,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,174 : 276,489 = 276,489 : x
  2. Step 2: Convert to fraction form
    117,174/276,489 = 276,489/x
  3. Step 3: Cross multiply
    117,174x = 276,489 × 276,489
  4. Step 4: Simplify right side
    117,174x = 76,446,167,121
  5. Step 5: Solve for x
    x = 76,446,167,121/117,174
  6. Step 6: Final answer
    x = 652,415.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.