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Finding the Third Proportional to 283,212 and 434,646

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Solution

The third proportional to 283,212 and 434,646 is: 667,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,212 : 434,646 = 434,646 : x
  2. Step 2: Convert to fraction form
    283,212/434,646 = 434,646/x
  3. Step 3: Cross multiply
    283,212x = 434,646 × 434,646
  4. Step 4: Simplify right side
    283,212x = 188,917,145,316
  5. Step 5: Solve for x
    x = 188,917,145,316/283,212
  6. Step 6: Final answer
    x = 667,052.05

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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.