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Finding the Third Proportional to 342,000 and 511,086

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Solution

The third proportional to 342,000 and 511,086 is: 763,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000 : 511,086 = 511,086 : x
  2. Step 2: Convert to fraction form
    342,000/511,086 = 511,086/x
  3. Step 3: Cross multiply
    342,000x = 511,086 × 511,086
  4. Step 4: Simplify right side
    342,000x = 261,208,899,396
  5. Step 5: Solve for x
    x = 261,208,899,396/342,000
  6. Step 6: Final answer
    x = 763,768.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.