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Finding the Third Proportional to 510,651.75 and 768,180.75

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Solution

The third proportional to 510,651.75 and 768,180.75 is: 1,155,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,651.75 : 768,180.75 = 768,180.75 : x
  2. Step 2: Convert to fraction form
    510,651.75/768,180.75 = 768,180.75/x
  3. Step 3: Cross multiply
    510,651.75x = 768,180.75 × 768,180.75
  4. Step 4: Simplify right side
    510,651.75x = 590,101,664,670.56
  5. Step 5: Solve for x
    x = 590,101,664,670.56/510,651.75
  6. Step 6: Final answer
    x = 1,155,585.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.