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Finding the Third Proportional to 340,945.50 and 511,419

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Solution

The third proportional to 340,945.50 and 511,419 is: 767,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,945.50 : 511,419 = 511,419 : x
  2. Step 2: Convert to fraction form
    340,945.50/511,419 = 511,419/x
  3. Step 3: Cross multiply
    340,945.50x = 511,419 × 511,419
  4. Step 4: Simplify right side
    340,945.50x = 261,549,393,561
  5. Step 5: Solve for x
    x = 261,549,393,561/340,945.50
  6. Step 6: Final answer
    x = 767,129.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.