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Finding the Third Proportional to 283,488 and 434,988

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Solution

The third proportional to 283,488 and 434,988 is: 667,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,488 : 434,988 = 434,988 : x
  2. Step 2: Convert to fraction form
    283,488/434,988 = 434,988/x
  3. Step 3: Cross multiply
    283,488x = 434,988 × 434,988
  4. Step 4: Simplify right side
    283,488x = 189,214,560,144
  5. Step 5: Solve for x
    x = 189,214,560,144/283,488
  6. Step 6: Final answer
    x = 667,451.74

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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.