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Finding the Third Proportional to 280,939.50 and 619,138.13

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Solution

The third proportional to 280,939.50 and 619,138.13 is: 1,364,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,939.50 : 619,138.13 = 619,138.13 : x
  2. Step 2: Convert to fraction form
    280,939.50/619,138.13 = 619,138.13/x
  3. Step 3: Cross multiply
    280,939.50x = 619,138.13 × 619,138.13
  4. Step 4: Simplify right side
    280,939.50x = 383,332,017,828.52
  5. Step 5: Solve for x
    x = 383,332,017,828.52/280,939.50
  6. Step 6: Final answer
    x = 1,364,464.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.