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Finding the Third Proportional to 288,103.13 and 622,367.06

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Solution

The third proportional to 288,103.13 and 622,367.06 is: 1,344,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,103.13 : 622,367.06 = 622,367.06 : x
  2. Step 2: Convert to fraction form
    288,103.13/622,367.06 = 622,367.06/x
  3. Step 3: Cross multiply
    288,103.13x = 622,367.06 × 622,367.06
  4. Step 4: Simplify right side
    288,103.13x = 387,340,760,484.88
  5. Step 5: Solve for x
    x = 387,340,760,484.88/288,103.13
  6. Step 6: Final answer
    x = 1,344,451.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.