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Finding the Third Proportional to 344,018 and 521,211

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Solution

The third proportional to 344,018 and 521,211 is: 789,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,018 : 521,211 = 521,211 : x
  2. Step 2: Convert to fraction form
    344,018/521,211 = 521,211/x
  3. Step 3: Cross multiply
    344,018x = 521,211 × 521,211
  4. Step 4: Simplify right side
    344,018x = 271,660,906,521
  5. Step 5: Solve for x
    x = 271,660,906,521/344,018
  6. Step 6: Final answer
    x = 789,670.62

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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.