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Finding the Third Proportional to 288,168.75 and 422,896.50

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Solution

The third proportional to 288,168.75 and 422,896.50 is: 620,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,168.75 : 422,896.50 = 422,896.50 : x
  2. Step 2: Convert to fraction form
    288,168.75/422,896.50 = 422,896.50/x
  3. Step 3: Cross multiply
    288,168.75x = 422,896.50 × 422,896.50
  4. Step 4: Simplify right side
    288,168.75x = 178,841,449,712.25
  5. Step 5: Solve for x
    x = 178,841,449,712.25/288,168.75
  6. Step 6: Final answer
    x = 620,613.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.