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Finding the Third Proportional to 542,205.75 and 811,667.25

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Solution

The third proportional to 542,205.75 and 811,667.25 is: 1,215,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,205.75 : 811,667.25 = 811,667.25 : x
  2. Step 2: Convert to fraction form
    542,205.75/811,667.25 = 811,667.25/x
  3. Step 3: Cross multiply
    542,205.75x = 811,667.25 × 811,667.25
  4. Step 4: Simplify right side
    542,205.75x = 658,803,724,722.56
  5. Step 5: Solve for x
    x = 658,803,724,722.56/542,205.75
  6. Step 6: Final answer
    x = 1,215,043.78

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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.