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Finding the Third Proportional to 512,112 and 775,242

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Solution

The third proportional to 512,112 and 775,242 is: 1,173,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112 : 775,242 = 775,242 : x
  2. Step 2: Convert to fraction form
    512,112/775,242 = 775,242/x
  3. Step 3: Cross multiply
    512,112x = 775,242 × 775,242
  4. Step 4: Simplify right side
    512,112x = 601,000,158,564
  5. Step 5: Solve for x
    x = 601,000,158,564/512,112
  6. Step 6: Final answer
    x = 1,173,571.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.