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Finding the Third Proportional to 283,473 and 434,970

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Solution

The third proportional to 283,473 and 434,970 is: 667,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,473 : 434,970 = 434,970 : x
  2. Step 2: Convert to fraction form
    283,473/434,970 = 434,970/x
  3. Step 3: Cross multiply
    283,473x = 434,970 × 434,970
  4. Step 4: Simplify right side
    283,473x = 189,198,900,900
  5. Step 5: Solve for x
    x = 189,198,900,900/283,473
  6. Step 6: Final answer
    x = 667,431.82

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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.