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Finding the Third Proportional to 393,480 and 844,308

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Solution

The third proportional to 393,480 and 844,308 is: 1,811,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,480 : 844,308 = 844,308 : x
  2. Step 2: Convert to fraction form
    393,480/844,308 = 844,308/x
  3. Step 3: Cross multiply
    393,480x = 844,308 × 844,308
  4. Step 4: Simplify right side
    393,480x = 712,855,998,864
  5. Step 5: Solve for x
    x = 712,855,998,864/393,480
  6. Step 6: Final answer
    x = 1,811,670.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.