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Finding the Third Proportional to 137,120 and 305,749

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Solution

The third proportional to 137,120 and 305,749 is: 681,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120 : 305,749 = 305,749 : x
  2. Step 2: Convert to fraction form
    137,120/305,749 = 305,749/x
  3. Step 3: Cross multiply
    137,120x = 305,749 × 305,749
  4. Step 4: Simplify right side
    137,120x = 93,482,451,001
  5. Step 5: Solve for x
    x = 93,482,451,001/137,120
  6. Step 6: Final answer
    x = 681,756.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.