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Finding the Third Proportional to 280,199.25 and 619,278.75

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Solution

The third proportional to 280,199.25 and 619,278.75 is: 1,368,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,199.25 : 619,278.75 = 619,278.75 : x
  2. Step 2: Convert to fraction form
    280,199.25/619,278.75 = 619,278.75/x
  3. Step 3: Cross multiply
    280,199.25x = 619,278.75 × 619,278.75
  4. Step 4: Simplify right side
    280,199.25x = 383,506,170,201.56
  5. Step 5: Solve for x
    x = 383,506,170,201.56/280,199.25
  6. Step 6: Final answer
    x = 1,368,690.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.