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Finding the Third Proportional to 280,086 and 420,336

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Solution

The third proportional to 280,086 and 420,336 is: 630,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,086 : 420,336 = 420,336 : x
  2. Step 2: Convert to fraction form
    280,086/420,336 = 420,336/x
  3. Step 3: Cross multiply
    280,086x = 420,336 × 420,336
  4. Step 4: Simplify right side
    280,086x = 176,682,352,896
  5. Step 5: Solve for x
    x = 176,682,352,896/280,086
  6. Step 6: Final answer
    x = 630,814.65

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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.