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Finding the Third Proportional to 342,001.50 and 511,086

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Solution

The third proportional to 342,001.50 and 511,086 is: 763,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.50 : 511,086 = 511,086 : x
  2. Step 2: Convert to fraction form
    342,001.50/511,086 = 511,086/x
  3. Step 3: Cross multiply
    342,001.50x = 511,086 × 511,086
  4. Step 4: Simplify right side
    342,001.50x = 261,208,899,396
  5. Step 5: Solve for x
    x = 261,208,899,396/342,001.50
  6. Step 6: Final answer
    x = 763,765.36

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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.