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Finding the Third Proportional to 332,639 and 521,212

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Solution

The third proportional to 332,639 and 521,212 is: 816,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,639 : 521,212 = 521,212 : x
  2. Step 2: Convert to fraction form
    332,639/521,212 = 521,212/x
  3. Step 3: Cross multiply
    332,639x = 521,212 × 521,212
  4. Step 4: Simplify right side
    332,639x = 271,661,948,944
  5. Step 5: Solve for x
    x = 271,661,948,944/332,639
  6. Step 6: Final answer
    x = 816,687.01

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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.