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Finding the Third Proportional to 393,574 and 844,484

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Solution

The third proportional to 393,574 and 844,484 is: 1,811,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,574 : 844,484 = 844,484 : x
  2. Step 2: Convert to fraction form
    393,574/844,484 = 844,484/x
  3. Step 3: Cross multiply
    393,574x = 844,484 × 844,484
  4. Step 4: Simplify right side
    393,574x = 713,153,226,256
  5. Step 5: Solve for x
    x = 713,153,226,256/393,574
  6. Step 6: Final answer
    x = 1,811,992.73

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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.