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Finding the Third Proportional to 511,012 and 784,374

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Solution

The third proportional to 511,012 and 784,374 is: 1,203,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012 : 784,374 = 784,374 : x
  2. Step 2: Convert to fraction form
    511,012/784,374 = 784,374/x
  3. Step 3: Cross multiply
    511,012x = 784,374 × 784,374
  4. Step 4: Simplify right side
    511,012x = 615,242,571,876
  5. Step 5: Solve for x
    x = 615,242,571,876/511,012
  6. Step 6: Final answer
    x = 1,203,968.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.