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Finding the Third Proportional to 380,938 and 819,206

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Solution

The third proportional to 380,938 and 819,206 is: 1,761,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,938 : 819,206 = 819,206 : x
  2. Step 2: Convert to fraction form
    380,938/819,206 = 819,206/x
  3. Step 3: Cross multiply
    380,938x = 819,206 × 819,206
  4. Step 4: Simplify right side
    380,938x = 671,098,470,436
  5. Step 5: Solve for x
    x = 671,098,470,436/380,938
  6. Step 6: Final answer
    x = 1,761,699.99

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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.