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Finding the Third Proportional to 381,010.50 and 819,369

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Solution

The third proportional to 381,010.50 and 819,369 is: 1,762,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,010.50 : 819,369 = 819,369 : x
  2. Step 2: Convert to fraction form
    381,010.50/819,369 = 819,369/x
  3. Step 3: Cross multiply
    381,010.50x = 819,369 × 819,369
  4. Step 4: Simplify right side
    381,010.50x = 671,365,558,161
  5. Step 5: Solve for x
    x = 671,365,558,161/381,010.50
  6. Step 6: Final answer
    x = 1,762,065.77

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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.