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Finding the Third Proportional to 669,822 and 936,920

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Solution

The third proportional to 669,822 and 936,920 is: 1,310,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,822 : 936,920 = 936,920 : x
  2. Step 2: Convert to fraction form
    669,822/936,920 = 936,920/x
  3. Step 3: Cross multiply
    669,822x = 936,920 × 936,920
  4. Step 4: Simplify right side
    669,822x = 877,819,086,400
  5. Step 5: Solve for x
    x = 877,819,086,400/669,822
  6. Step 6: Final answer
    x = 1,310,525.91

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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.