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Finding the Third Proportional to 511,500 and 744,760

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Solution

The third proportional to 511,500 and 744,760 is: 1,084,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,500 : 744,760 = 744,760 : x
  2. Step 2: Convert to fraction form
    511,500/744,760 = 744,760/x
  3. Step 3: Cross multiply
    511,500x = 744,760 × 744,760
  4. Step 4: Simplify right side
    511,500x = 554,667,457,600
  5. Step 5: Solve for x
    x = 554,667,457,600/511,500
  6. Step 6: Final answer
    x = 1,084,393.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.