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Finding the Third Proportional to 332,643 and 521,218

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Solution

The third proportional to 332,643 and 521,218 is: 816,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,643 : 521,218 = 521,218 : x
  2. Step 2: Convert to fraction form
    332,643/521,218 = 521,218/x
  3. Step 3: Cross multiply
    332,643x = 521,218 × 521,218
  4. Step 4: Simplify right side
    332,643x = 271,668,203,524
  5. Step 5: Solve for x
    x = 271,668,203,524/332,643
  6. Step 6: Final answer
    x = 816,695.99

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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.