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Finding the Third Proportional to 186,868.90 and 280,474.21

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Solution

The third proportional to 186,868.90 and 280,474.21 is: 420,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,868.90 : 280,474.21 = 280,474.21 : x
  2. Step 2: Convert to fraction form
    186,868.90/280,474.21 = 280,474.21/x
  3. Step 3: Cross multiply
    186,868.90x = 280,474.21 × 280,474.21
  4. Step 4: Simplify right side
    186,868.90x = 78,665,780,809.80
  5. Step 5: Solve for x
    x = 78,665,780,809.80/186,868.90
  6. Step 6: Final answer
    x = 420,967.76

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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.