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Finding the Third Proportional to 381,006.50 and 819,361

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Solution

The third proportional to 381,006.50 and 819,361 is: 1,762,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.50 : 819,361 = 819,361 : x
  2. Step 2: Convert to fraction form
    381,006.50/819,361 = 819,361/x
  3. Step 3: Cross multiply
    381,006.50x = 819,361 × 819,361
  4. Step 4: Simplify right side
    381,006.50x = 671,352,448,321
  5. Step 5: Solve for x
    x = 671,352,448,321/381,006.50
  6. Step 6: Final answer
    x = 1,762,049.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.