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Finding the Third Proportional to 380,752.88 and 505,414.69

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Solution

The third proportional to 380,752.88 and 505,414.69 is: 670,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,752.88 : 505,414.69 = 505,414.69 : x
  2. Step 2: Convert to fraction form
    380,752.88/505,414.69 = 505,414.69/x
  3. Step 3: Cross multiply
    380,752.88x = 505,414.69 × 505,414.69
  4. Step 4: Simplify right side
    380,752.88x = 255,444,006,340.72
  5. Step 5: Solve for x
    x = 255,444,006,340.72/380,752.88
  6. Step 6: Final answer
    x = 670,891.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.