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Finding the Third Proportional to 669,816 and 936,912

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Solution

The third proportional to 669,816 and 936,912 is: 1,310,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,816 : 936,912 = 936,912 : x
  2. Step 2: Convert to fraction form
    669,816/936,912 = 936,912/x
  3. Step 3: Cross multiply
    669,816x = 936,912 × 936,912
  4. Step 4: Simplify right side
    669,816x = 877,804,095,744
  5. Step 5: Solve for x
    x = 877,804,095,744/669,816
  6. Step 6: Final answer
    x = 1,310,515.27

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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.