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Finding the Third Proportional to 280,324.69 and 420,400.13

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Solution

The third proportional to 280,324.69 and 420,400.13 is: 630,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,324.69 : 420,400.13 = 420,400.13 : x
  2. Step 2: Convert to fraction form
    280,324.69/420,400.13 = 420,400.13/x
  3. Step 3: Cross multiply
    280,324.69x = 420,400.13 × 420,400.13
  4. Step 4: Simplify right side
    280,324.69x = 176,736,265,100.02
  5. Step 5: Solve for x
    x = 176,736,265,100.02/280,324.69
  6. Step 6: Final answer
    x = 630,469.86

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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.