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Finding the Third Proportional to 442,784 and 691,824

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Solution

The third proportional to 442,784 and 691,824 is: 1,080,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,784 : 691,824 = 691,824 : x
  2. Step 2: Convert to fraction form
    442,784/691,824 = 691,824/x
  3. Step 3: Cross multiply
    442,784x = 691,824 × 691,824
  4. Step 4: Simplify right side
    442,784x = 478,620,446,976
  5. Step 5: Solve for x
    x = 478,620,446,976/442,784
  6. Step 6: Final answer
    x = 1,080,934.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.