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Finding the Third Proportional to 186,760 and 280,326

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Solution

The third proportional to 186,760 and 280,326 is: 420,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,760 : 280,326 = 280,326 : x
  2. Step 2: Convert to fraction form
    186,760/280,326 = 280,326/x
  3. Step 3: Cross multiply
    186,760x = 280,326 × 280,326
  4. Step 4: Simplify right side
    186,760x = 78,582,666,276
  5. Step 5: Solve for x
    x = 78,582,666,276/186,760
  6. Step 6: Final answer
    x = 420,768.19

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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.