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Finding the Third Proportional to 344,162 and 521,423

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Solution

The third proportional to 344,162 and 521,423 is: 789,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,162 : 521,423 = 521,423 : x
  2. Step 2: Convert to fraction form
    344,162/521,423 = 521,423/x
  3. Step 3: Cross multiply
    344,162x = 521,423 × 521,423
  4. Step 4: Simplify right side
    344,162x = 271,881,944,929
  5. Step 5: Solve for x
    x = 271,881,944,929/344,162
  6. Step 6: Final answer
    x = 789,982.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.