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Finding the Third Proportional to 187,178 and 280,676

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Solution

The third proportional to 187,178 and 280,676 is: 420,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,178 : 280,676 = 280,676 : x
  2. Step 2: Convert to fraction form
    187,178/280,676 = 280,676/x
  3. Step 3: Cross multiply
    187,178x = 280,676 × 280,676
  4. Step 4: Simplify right side
    187,178x = 78,779,016,976
  5. Step 5: Solve for x
    x = 78,779,016,976/187,178
  6. Step 6: Final answer
    x = 420,877.54

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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.