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Finding the Third Proportional to 381,009 and 819,365

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Solution

The third proportional to 381,009 and 819,365 is: 1,762,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,009 : 819,365 = 819,365 : x
  2. Step 2: Convert to fraction form
    381,009/819,365 = 819,365/x
  3. Step 3: Cross multiply
    381,009x = 819,365 × 819,365
  4. Step 4: Simplify right side
    381,009x = 671,359,003,225
  5. Step 5: Solve for x
    x = 671,359,003,225/381,009
  6. Step 6: Final answer
    x = 1,762,055.50

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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.