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Finding the Third Proportional to 187,174 and 280,670

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Solution

The third proportional to 187,174 and 280,670 is: 420,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,174 : 280,670 = 280,670 : x
  2. Step 2: Convert to fraction form
    187,174/280,670 = 280,670/x
  3. Step 3: Cross multiply
    187,174x = 280,670 × 280,670
  4. Step 4: Simplify right side
    187,174x = 78,775,648,900
  5. Step 5: Solve for x
    x = 78,775,648,900/187,174
  6. Step 6: Final answer
    x = 420,868.54

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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.