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Finding the Third Proportional to 280,438 and 612,269

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Solution

The third proportional to 280,438 and 612,269 is: 1,336,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,438 : 612,269 = 612,269 : x
  2. Step 2: Convert to fraction form
    280,438/612,269 = 612,269/x
  3. Step 3: Cross multiply
    280,438x = 612,269 × 612,269
  4. Step 4: Simplify right side
    280,438x = 374,873,328,361
  5. Step 5: Solve for x
    x = 374,873,328,361/280,438
  6. Step 6: Final answer
    x = 1,336,742.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.