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Finding the Third Proportional to 669,820 and 936,917

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Solution

The third proportional to 669,820 and 936,917 is: 1,310,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,820 : 936,917 = 936,917 : x
  2. Step 2: Convert to fraction form
    669,820/936,917 = 936,917/x
  3. Step 3: Cross multiply
    669,820x = 936,917 × 936,917
  4. Step 4: Simplify right side
    669,820x = 877,813,464,889
  5. Step 5: Solve for x
    x = 877,813,464,889/669,820
  6. Step 6: Final answer
    x = 1,310,521.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.