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Finding the Third Proportional to 135,120 and 296,184

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Solution

The third proportional to 135,120 and 296,184 is: 649,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,120 : 296,184 = 296,184 : x
  2. Step 2: Convert to fraction form
    135,120/296,184 = 296,184/x
  3. Step 3: Cross multiply
    135,120x = 296,184 × 296,184
  4. Step 4: Simplify right side
    135,120x = 87,724,961,856
  5. Step 5: Solve for x
    x = 87,724,961,856/135,120
  6. Step 6: Final answer
    x = 649,237.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.