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Finding the Third Proportional to 542,511 and 818,682

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Solution

The third proportional to 542,511 and 818,682 is: 1,235,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,511 : 818,682 = 818,682 : x
  2. Step 2: Convert to fraction form
    542,511/818,682 = 818,682/x
  3. Step 3: Cross multiply
    542,511x = 818,682 × 818,682
  4. Step 4: Simplify right side
    542,511x = 670,240,217,124
  5. Step 5: Solve for x
    x = 670,240,217,124/542,511
  6. Step 6: Final answer
    x = 1,235,440.79

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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.