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Finding the Third Proportional to 280,322.25 and 420,396.94

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Solution

The third proportional to 280,322.25 and 420,396.94 is: 630,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,322.25 : 420,396.94 = 420,396.94 : x
  2. Step 2: Convert to fraction form
    280,322.25/420,396.94 = 420,396.94/x
  3. Step 3: Cross multiply
    280,322.25x = 420,396.94 × 420,396.94
  4. Step 4: Simplify right side
    280,322.25x = 176,733,585,059.38
  5. Step 5: Solve for x
    x = 176,733,585,059.38/280,322.25
  6. Step 6: Final answer
    x = 630,465.78

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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.