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Finding the Third Proportional to 380,942 and 819,214

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Solution

The third proportional to 380,942 and 819,214 is: 1,761,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,942 : 819,214 = 819,214 : x
  2. Step 2: Convert to fraction form
    380,942/819,214 = 819,214/x
  3. Step 3: Cross multiply
    380,942x = 819,214 × 819,214
  4. Step 4: Simplify right side
    380,942x = 671,111,577,796
  5. Step 5: Solve for x
    x = 671,111,577,796/380,942
  6. Step 6: Final answer
    x = 1,761,715.90

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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.