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Finding the Third Proportional to 135,990 and 296,174

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Solution

The third proportional to 135,990 and 296,174 is: 645,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,990 : 296,174 = 296,174 : x
  2. Step 2: Convert to fraction form
    135,990/296,174 = 296,174/x
  3. Step 3: Cross multiply
    135,990x = 296,174 × 296,174
  4. Step 4: Simplify right side
    135,990x = 87,719,038,276
  5. Step 5: Solve for x
    x = 87,719,038,276/135,990
  6. Step 6: Final answer
    x = 645,040.36

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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.