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Finding the Third Proportional to 280,383.75 and 380,184.75

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Solution

The third proportional to 280,383.75 and 380,184.75 is: 515,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,383.75 : 380,184.75 = 380,184.75 : x
  2. Step 2: Convert to fraction form
    280,383.75/380,184.75 = 380,184.75/x
  3. Step 3: Cross multiply
    280,383.75x = 380,184.75 × 380,184.75
  4. Step 4: Simplify right side
    280,383.75x = 144,540,444,132.56
  5. Step 5: Solve for x
    x = 144,540,444,132.56/280,383.75
  6. Step 6: Final answer
    x = 515,509.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.