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Finding the Third Proportional to 205,984.50 and 318,777.75

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Solution

The third proportional to 205,984.50 and 318,777.75 is: 493,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,984.50 : 318,777.75 = 318,777.75 : x
  2. Step 2: Convert to fraction form
    205,984.50/318,777.75 = 318,777.75/x
  3. Step 3: Cross multiply
    205,984.50x = 318,777.75 × 318,777.75
  4. Step 4: Simplify right side
    205,984.50x = 101,619,253,895.06
  5. Step 5: Solve for x
    x = 101,619,253,895.06/205,984.50
  6. Step 6: Final answer
    x = 493,334.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.