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Finding the Third Proportional to 201,783 and 282,793.50

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Solution

The third proportional to 201,783 and 282,793.50 is: 396,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783 : 282,793.50 = 282,793.50 : x
  2. Step 2: Convert to fraction form
    201,783/282,793.50 = 282,793.50/x
  3. Step 3: Cross multiply
    201,783x = 282,793.50 × 282,793.50
  4. Step 4: Simplify right side
    201,783x = 79,972,163,642.25
  5. Step 5: Solve for x
    x = 79,972,163,642.25/201,783
  6. Step 6: Final answer
    x = 396,327.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.