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Finding the Third Proportional to 135,963 and 319,891.50

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Solution

The third proportional to 135,963 and 319,891.50 is: 752,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,963 : 319,891.50 = 319,891.50 : x
  2. Step 2: Convert to fraction form
    135,963/319,891.50 = 319,891.50/x
  3. Step 3: Cross multiply
    135,963x = 319,891.50 × 319,891.50
  4. Step 4: Simplify right side
    135,963x = 102,330,571,772.25
  5. Step 5: Solve for x
    x = 102,330,571,772.25/135,963
  6. Step 6: Final answer
    x = 752,635.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.