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Finding the Third Proportional to 283,406 and 434,037

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Solution

The third proportional to 283,406 and 434,037 is: 664,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,406 : 434,037 = 434,037 : x
  2. Step 2: Convert to fraction form
    283,406/434,037 = 434,037/x
  3. Step 3: Cross multiply
    283,406x = 434,037 × 434,037
  4. Step 4: Simplify right side
    283,406x = 188,388,117,369
  5. Step 5: Solve for x
    x = 188,388,117,369/283,406
  6. Step 6: Final answer
    x = 664,728.75

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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.