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Finding the Third Proportional to 186,977.53 and 280,396.69

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Solution

The third proportional to 186,977.53 and 280,396.69 is: 420,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,977.53 : 280,396.69 = 280,396.69 : x
  2. Step 2: Convert to fraction form
    186,977.53/280,396.69 = 280,396.69/x
  3. Step 3: Cross multiply
    186,977.53x = 280,396.69 × 280,396.69
  4. Step 4: Simplify right side
    186,977.53x = 78,622,302,360.97
  5. Step 5: Solve for x
    x = 78,622,302,360.97/186,977.53
  6. Step 6: Final answer
    x = 420,490.64

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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.