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Finding the Third Proportional to 278,624 and 603,904

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Solution

The third proportional to 278,624 and 603,904 is: 1,308,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,624 : 603,904 = 603,904 : x
  2. Step 2: Convert to fraction form
    278,624/603,904 = 603,904/x
  3. Step 3: Cross multiply
    278,624x = 603,904 × 603,904
  4. Step 4: Simplify right side
    278,624x = 364,700,041,216
  5. Step 5: Solve for x
    x = 364,700,041,216/278,624
  6. Step 6: Final answer
    x = 1,308,932.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.