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Finding the Third Proportional to 186,719 and 280,215

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Solution

The third proportional to 186,719 and 280,215 is: 420,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,719 : 280,215 = 280,215 : x
  2. Step 2: Convert to fraction form
    186,719/280,215 = 280,215/x
  3. Step 3: Cross multiply
    186,719x = 280,215 × 280,215
  4. Step 4: Simplify right side
    186,719x = 78,520,446,225
  5. Step 5: Solve for x
    x = 78,520,446,225/186,719
  6. Step 6: Final answer
    x = 420,527.35

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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.