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Finding the Third Proportional to 204,783 and 320,551.50

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Solution

The third proportional to 204,783 and 320,551.50 is: 501,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,783 : 320,551.50 = 320,551.50 : x
  2. Step 2: Convert to fraction form
    204,783/320,551.50 = 320,551.50/x
  3. Step 3: Cross multiply
    204,783x = 320,551.50 × 320,551.50
  4. Step 4: Simplify right side
    204,783x = 102,753,264,152.25
  5. Step 5: Solve for x
    x = 102,753,264,152.25/204,783
  6. Step 6: Final answer
    x = 501,766.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.