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Finding the Third Proportional to 186,927 and 280,629

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Solution

The third proportional to 186,927 and 280,629 is: 421,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,927 : 280,629 = 280,629 : x
  2. Step 2: Convert to fraction form
    186,927/280,629 = 280,629/x
  3. Step 3: Cross multiply
    186,927x = 280,629 × 280,629
  4. Step 4: Simplify right side
    186,927x = 78,752,635,641
  5. Step 5: Solve for x
    x = 78,752,635,641/186,927
  6. Step 6: Final answer
    x = 421,301.55

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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.