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Finding the Third Proportional to 376,922 and 819,284

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Solution

The third proportional to 376,922 and 819,284 is: 1,780,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,922 : 819,284 = 819,284 : x
  2. Step 2: Convert to fraction form
    376,922/819,284 = 819,284/x
  3. Step 3: Cross multiply
    376,922x = 819,284 × 819,284
  4. Step 4: Simplify right side
    376,922x = 671,226,272,656
  5. Step 5: Solve for x
    x = 671,226,272,656/376,922
  6. Step 6: Final answer
    x = 1,780,809.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.