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Finding the Third Proportional to 189,739.13 and 283,582.69

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Solution

The third proportional to 189,739.13 and 283,582.69 is: 423,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,739.13 : 283,582.69 = 283,582.69 : x
  2. Step 2: Convert to fraction form
    189,739.13/283,582.69 = 283,582.69/x
  3. Step 3: Cross multiply
    189,739.13x = 283,582.69 × 283,582.69
  4. Step 4: Simplify right side
    189,739.13x = 80,419,140,649.72
  5. Step 5: Solve for x
    x = 80,419,140,649.72/189,739.13
  6. Step 6: Final answer
    x = 423,840.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.