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Finding the Third Proportional to 135,992 and 296,178

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Solution

The third proportional to 135,992 and 296,178 is: 645,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,992 : 296,178 = 296,178 : x
  2. Step 2: Convert to fraction form
    135,992/296,178 = 296,178/x
  3. Step 3: Cross multiply
    135,992x = 296,178 × 296,178
  4. Step 4: Simplify right side
    135,992x = 87,721,407,684
  5. Step 5: Solve for x
    x = 87,721,407,684/135,992
  6. Step 6: Final answer
    x = 645,048.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.