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Finding the Third Proportional to 380,957 and 836,677

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Solution

The third proportional to 380,957 and 836,677 is: 1,837,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,957 : 836,677 = 836,677 : x
  2. Step 2: Convert to fraction form
    380,957/836,677 = 836,677/x
  3. Step 3: Cross multiply
    380,957x = 836,677 × 836,677
  4. Step 4: Simplify right side
    380,957x = 700,028,402,329
  5. Step 5: Solve for x
    x = 700,028,402,329/380,957
  6. Step 6: Final answer
    x = 1,837,552.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.