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Finding the Third Proportional to 332,641 and 521,215

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Solution

The third proportional to 332,641 and 521,215 is: 816,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,641 : 521,215 = 521,215 : x
  2. Step 2: Convert to fraction form
    332,641/521,215 = 521,215/x
  3. Step 3: Cross multiply
    332,641x = 521,215 × 521,215
  4. Step 4: Simplify right side
    332,641x = 271,665,076,225
  5. Step 5: Solve for x
    x = 271,665,076,225/332,641
  6. Step 6: Final answer
    x = 816,691.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.