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Finding the Third Proportional to 392,999.63 and 842,023.13

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Solution

The third proportional to 392,999.63 and 842,023.13 is: 1,804,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,999.63 : 842,023.13 = 842,023.13 : x
  2. Step 2: Convert to fraction form
    392,999.63/842,023.13 = 842,023.13/x
  3. Step 3: Cross multiply
    392,999.63x = 842,023.13 × 842,023.13
  4. Step 4: Simplify right side
    392,999.63x = 709,002,943,034.77
  5. Step 5: Solve for x
    x = 709,002,943,034.77/392,999.63
  6. Step 6: Final answer
    x = 1,804,080.46

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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.