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Finding the Third Proportional to 137,118 and 305,745

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Solution

The third proportional to 137,118 and 305,745 is: 681,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,118 : 305,745 = 305,745 : x
  2. Step 2: Convert to fraction form
    137,118/305,745 = 305,745/x
  3. Step 3: Cross multiply
    137,118x = 305,745 × 305,745
  4. Step 4: Simplify right side
    137,118x = 93,480,005,025
  5. Step 5: Solve for x
    x = 93,480,005,025/137,118
  6. Step 6: Final answer
    x = 681,748.60

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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.