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Finding the Third Proportional to 81,739.13 and 197,650.13

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Solution

The third proportional to 81,739.13 and 197,650.13 is: 477,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,739.13 : 197,650.13 = 197,650.13 : x
  2. Step 2: Convert to fraction form
    81,739.13/197,650.13 = 197,650.13/x
  3. Step 3: Cross multiply
    81,739.13x = 197,650.13 × 197,650.13
  4. Step 4: Simplify right side
    81,739.13x = 39,065,571,912.52
  5. Step 5: Solve for x
    x = 39,065,571,912.52/81,739.13
  6. Step 6: Final answer
    x = 477,929.90

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.