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Finding the Third Proportional to 135,193.50 and 205,706.25

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Solution

The third proportional to 135,193.50 and 205,706.25 is: 312,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,193.50 : 205,706.25 = 205,706.25 : x
  2. Step 2: Convert to fraction form
    135,193.50/205,706.25 = 205,706.25/x
  3. Step 3: Cross multiply
    135,193.50x = 205,706.25 × 205,706.25
  4. Step 4: Simplify right side
    135,193.50x = 42,315,061,289.06
  5. Step 5: Solve for x
    x = 42,315,061,289.06/135,193.50
  6. Step 6: Final answer
    x = 312,996.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.