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Finding the Third Proportional to 203,978.25 and 306,149.63

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Solution

The third proportional to 203,978.25 and 306,149.63 is: 459,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,978.25 : 306,149.63 = 306,149.63 : x
  2. Step 2: Convert to fraction form
    203,978.25/306,149.63 = 306,149.63/x
  3. Step 3: Cross multiply
    203,978.25x = 306,149.63 × 306,149.63
  4. Step 4: Simplify right side
    203,978.25x = 93,727,592,887.64
  5. Step 5: Solve for x
    x = 93,727,592,887.64/203,978.25
  6. Step 6: Final answer
    x = 459,497.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.