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Finding the Third Proportional to 512,112 and 791,268

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Solution

The third proportional to 512,112 and 791,268 is: 1,222,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112 : 791,268 = 791,268 : x
  2. Step 2: Convert to fraction form
    512,112/791,268 = 791,268/x
  3. Step 3: Cross multiply
    512,112x = 791,268 × 791,268
  4. Step 4: Simplify right side
    512,112x = 626,105,047,824
  5. Step 5: Solve for x
    x = 626,105,047,824/512,112
  6. Step 6: Final answer
    x = 1,222,593.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.