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Finding the Third Proportional to 280,224 and 437,826

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Solution

The third proportional to 280,224 and 437,826 is: 684,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,224 : 437,826 = 437,826 : x
  2. Step 2: Convert to fraction form
    280,224/437,826 = 437,826/x
  3. Step 3: Cross multiply
    280,224x = 437,826 × 437,826
  4. Step 4: Simplify right side
    280,224x = 191,691,606,276
  5. Step 5: Solve for x
    x = 191,691,606,276/280,224
  6. Step 6: Final answer
    x = 684,065.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.