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Finding the Third Proportional to 361,128.38 and 768,912.75

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Solution

The third proportional to 361,128.38 and 768,912.75 is: 1,637,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,128.38 : 768,912.75 = 768,912.75 : x
  2. Step 2: Convert to fraction form
    361,128.38/768,912.75 = 768,912.75/x
  3. Step 3: Cross multiply
    361,128.38x = 768,912.75 × 768,912.75
  4. Step 4: Simplify right side
    361,128.38x = 591,226,817,112.56
  5. Step 5: Solve for x
    x = 591,226,817,112.56/361,128.38
  6. Step 6: Final answer
    x = 1,637,165.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.