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Finding the Third Proportional to 343,972 and 521,152

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Solution

The third proportional to 343,972 and 521,152 is: 789,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,972 : 521,152 = 521,152 : x
  2. Step 2: Convert to fraction form
    343,972/521,152 = 521,152/x
  3. Step 3: Cross multiply
    343,972x = 521,152 × 521,152
  4. Step 4: Simplify right side
    343,972x = 271,599,407,104
  5. Step 5: Solve for x
    x = 271,599,407,104/343,972
  6. Step 6: Final answer
    x = 789,597.43

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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.