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Finding the Third Proportional to 94,558.50 and 204,865.88

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Solution

The third proportional to 94,558.50 and 204,865.88 is: 443,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,558.50 : 204,865.88 = 204,865.88 : x
  2. Step 2: Convert to fraction form
    94,558.50/204,865.88 = 204,865.88/x
  3. Step 3: Cross multiply
    94,558.50x = 204,865.88 × 204,865.88
  4. Step 4: Simplify right side
    94,558.50x = 41,970,026,739.52
  5. Step 5: Solve for x
    x = 41,970,026,739.52/94,558.50
  6. Step 6: Final answer
    x = 443,852.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.