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Finding the Third Proportional to 280,314 and 434,868

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Solution

The third proportional to 280,314 and 434,868 is: 674,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,314 : 434,868 = 434,868 : x
  2. Step 2: Convert to fraction form
    280,314/434,868 = 434,868/x
  3. Step 3: Cross multiply
    280,314x = 434,868 × 434,868
  4. Step 4: Simplify right side
    280,314x = 189,110,177,424
  5. Step 5: Solve for x
    x = 189,110,177,424/280,314
  6. Step 6: Final answer
    x = 674,636.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.