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Finding the Third Proportional to 280,882.13 and 397,439.63

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Solution

The third proportional to 280,882.13 and 397,439.63 is: 562,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,882.13 : 397,439.63 = 397,439.63 : x
  2. Step 2: Convert to fraction form
    280,882.13/397,439.63 = 397,439.63/x
  3. Step 3: Cross multiply
    280,882.13x = 397,439.63 × 397,439.63
  4. Step 4: Simplify right side
    280,882.13x = 157,958,255,520.14
  5. Step 5: Solve for x
    x = 157,958,255,520.14/280,882.13
  6. Step 6: Final answer
    x = 562,364.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.