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Finding the Third Proportional to 380,743.75 and 505,402.75

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Solution

The third proportional to 380,743.75 and 505,402.75 is: 670,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,743.75 : 505,402.75 = 505,402.75 : x
  2. Step 2: Convert to fraction form
    380,743.75/505,402.75 = 505,402.75/x
  3. Step 3: Cross multiply
    380,743.75x = 505,402.75 × 505,402.75
  4. Step 4: Simplify right side
    380,743.75x = 255,431,939,707.56
  5. Step 5: Solve for x
    x = 255,431,939,707.56/380,743.75
  6. Step 6: Final answer
    x = 670,876.25

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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.