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Finding the Third Proportional to 283,084 and 434,454

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Solution

The third proportional to 283,084 and 434,454 is: 666,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,084 : 434,454 = 434,454 : x
  2. Step 2: Convert to fraction form
    283,084/434,454 = 434,454/x
  3. Step 3: Cross multiply
    283,084x = 434,454 × 434,454
  4. Step 4: Simplify right side
    283,084x = 188,750,278,116
  5. Step 5: Solve for x
    x = 188,750,278,116/283,084
  6. Step 6: Final answer
    x = 666,764.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.