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Finding the Third Proportional to 393,447 and 842,991

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Solution

The third proportional to 393,447 and 842,991 is: 1,806,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,447 : 842,991 = 842,991 : x
  2. Step 2: Convert to fraction form
    393,447/842,991 = 842,991/x
  3. Step 3: Cross multiply
    393,447x = 842,991 × 842,991
  4. Step 4: Simplify right side
    393,447x = 710,633,826,081
  5. Step 5: Solve for x
    x = 710,633,826,081/393,447
  6. Step 6: Final answer
    x = 1,806,174.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.