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Finding the Third Proportional to 280,478 and 603,724

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Solution

The third proportional to 280,478 and 603,724 is: 1,299,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,478 : 603,724 = 603,724 : x
  2. Step 2: Convert to fraction form
    280,478/603,724 = 603,724/x
  3. Step 3: Cross multiply
    280,478x = 603,724 × 603,724
  4. Step 4: Simplify right side
    280,478x = 364,482,668,176
  5. Step 5: Solve for x
    x = 364,482,668,176/280,478
  6. Step 6: Final answer
    x = 1,299,505.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.