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Finding the Third Proportional to 118,201.50 and 256,092

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Solution

The third proportional to 118,201.50 and 256,092 is: 554,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,201.50 : 256,092 = 256,092 : x
  2. Step 2: Convert to fraction form
    118,201.50/256,092 = 256,092/x
  3. Step 3: Cross multiply
    118,201.50x = 256,092 × 256,092
  4. Step 4: Simplify right side
    118,201.50x = 65,583,112,464
  5. Step 5: Solve for x
    x = 65,583,112,464/118,201.50
  6. Step 6: Final answer
    x = 554,841.63

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