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Finding the Third Proportional to 186,744 and 280,251

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Solution

The third proportional to 186,744 and 280,251 is: 420,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,744 : 280,251 = 280,251 : x
  2. Step 2: Convert to fraction form
    186,744/280,251 = 280,251/x
  3. Step 3: Cross multiply
    186,744x = 280,251 × 280,251
  4. Step 4: Simplify right side
    186,744x = 78,540,623,001
  5. Step 5: Solve for x
    x = 78,540,623,001/186,744
  6. Step 6: Final answer
    x = 420,579.10

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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.