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Finding the Third Proportional to 542,941 and 819,975

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Solution

The third proportional to 542,941 and 819,975 is: 1,238,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,941 : 819,975 = 819,975 : x
  2. Step 2: Convert to fraction form
    542,941/819,975 = 819,975/x
  3. Step 3: Cross multiply
    542,941x = 819,975 × 819,975
  4. Step 4: Simplify right side
    542,941x = 672,359,000,625
  5. Step 5: Solve for x
    x = 672,359,000,625/542,941
  6. Step 6: Final answer
    x = 1,238,364.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.