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Finding the Third Proportional to 186,921 and 280,620

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Solution

The third proportional to 186,921 and 280,620 is: 421,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921 : 280,620 = 280,620 : x
  2. Step 2: Convert to fraction form
    186,921/280,620 = 280,620/x
  3. Step 3: Cross multiply
    186,921x = 280,620 × 280,620
  4. Step 4: Simplify right side
    186,921x = 78,747,584,400
  5. Step 5: Solve for x
    x = 78,747,584,400/186,921
  6. Step 6: Final answer
    x = 421,288.05

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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.