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Finding the Third Proportional to 186,721.50 and 280,218

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Solution

The third proportional to 186,721.50 and 280,218 is: 420,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,721.50 : 280,218 = 280,218 : x
  2. Step 2: Convert to fraction form
    186,721.50/280,218 = 280,218/x
  3. Step 3: Cross multiply
    186,721.50x = 280,218 × 280,218
  4. Step 4: Simplify right side
    186,721.50x = 78,522,127,524
  5. Step 5: Solve for x
    x = 78,522,127,524/186,721.50
  6. Step 6: Final answer
    x = 420,530.72

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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.