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Finding the Third Proportional to 392,999.06 and 842,022.56

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Solution

The third proportional to 392,999.06 and 842,022.56 is: 1,804,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,999.06 : 842,022.56 = 842,022.56 : x
  2. Step 2: Convert to fraction form
    392,999.06/842,022.56 = 842,022.56/x
  3. Step 3: Cross multiply
    392,999.06x = 842,022.56 × 842,022.56
  4. Step 4: Simplify right side
    392,999.06x = 709,001,995,759.07
  5. Step 5: Solve for x
    x = 709,001,995,759.07/392,999.06
  6. Step 6: Final answer
    x = 1,804,080.63

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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.