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Finding the Third Proportional to 280,260 and 434,160

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Solution

The third proportional to 280,260 and 434,160 is: 672,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,260 : 434,160 = 434,160 : x
  2. Step 2: Convert to fraction form
    280,260/434,160 = 434,160/x
  3. Step 3: Cross multiply
    280,260x = 434,160 × 434,160
  4. Step 4: Simplify right side
    280,260x = 188,494,905,600
  5. Step 5: Solve for x
    x = 188,494,905,600/280,260
  6. Step 6: Final answer
    x = 672,571.56

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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.