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Finding the Third Proportional to 280,472 and 603,712

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Solution

The third proportional to 280,472 and 603,712 is: 1,299,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,472 : 603,712 = 603,712 : x
  2. Step 2: Convert to fraction form
    280,472/603,712 = 603,712/x
  3. Step 3: Cross multiply
    280,472x = 603,712 × 603,712
  4. Step 4: Simplify right side
    280,472x = 364,468,178,944
  5. Step 5: Solve for x
    x = 364,468,178,944/280,472
  6. Step 6: Final answer
    x = 1,299,481.51

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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.