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Finding the Third Proportional to 280,674 and 439,788.38

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Solution

The third proportional to 280,674 and 439,788.38 is: 689,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,674 : 439,788.38 = 439,788.38 : x
  2. Step 2: Convert to fraction form
    280,674/439,788.38 = 439,788.38/x
  3. Step 3: Cross multiply
    280,674x = 439,788.38 × 439,788.38
  4. Step 4: Simplify right side
    280,674x = 193,413,814,785.14
  5. Step 5: Solve for x
    x = 193,413,814,785.14/280,674
  6. Step 6: Final answer
    x = 689,104.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.