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Finding the Third Proportional to 457,074 and 936,420

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Solution

The third proportional to 457,074 and 936,420 is: 1,918,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,074 : 936,420 = 936,420 : x
  2. Step 2: Convert to fraction form
    457,074/936,420 = 936,420/x
  3. Step 3: Cross multiply
    457,074x = 936,420 × 936,420
  4. Step 4: Simplify right side
    457,074x = 876,882,416,400
  5. Step 5: Solve for x
    x = 876,882,416,400/457,074
  6. Step 6: Final answer
    x = 1,918,469.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.