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Finding the Third Proportional to 128,663.25 and 283,503

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Solution

The third proportional to 128,663.25 and 283,503 is: 624,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,663.25 : 283,503 = 283,503 : x
  2. Step 2: Convert to fraction form
    128,663.25/283,503 = 283,503/x
  3. Step 3: Cross multiply
    128,663.25x = 283,503 × 283,503
  4. Step 4: Simplify right side
    128,663.25x = 80,373,951,009
  5. Step 5: Solve for x
    x = 80,373,951,009/128,663.25
  6. Step 6: Final answer
    x = 624,684.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.