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Finding the Third Proportional to 380,567 and 836,464

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Solution

The third proportional to 380,567 and 836,464 is: 1,838,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,567 : 836,464 = 836,464 : x
  2. Step 2: Convert to fraction form
    380,567/836,464 = 836,464/x
  3. Step 3: Cross multiply
    380,567x = 836,464 × 836,464
  4. Step 4: Simplify right side
    380,567x = 699,672,023,296
  5. Step 5: Solve for x
    x = 699,672,023,296/380,567
  6. Step 6: Final answer
    x = 1,838,498.93

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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.