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Finding the Third Proportional to 280,041 and 425,904

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Solution

The third proportional to 280,041 and 425,904 is: 647,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,041 : 425,904 = 425,904 : x
  2. Step 2: Convert to fraction form
    280,041/425,904 = 425,904/x
  3. Step 3: Cross multiply
    280,041x = 425,904 × 425,904
  4. Step 4: Simplify right side
    280,041x = 181,394,217,216
  5. Step 5: Solve for x
    x = 181,394,217,216/280,041
  6. Step 6: Final answer
    x = 647,741.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.