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Finding the Third Proportional to 115,201.50 and 236,142

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Solution

The third proportional to 115,201.50 and 236,142 is: 484,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,201.50 : 236,142 = 236,142 : x
  2. Step 2: Convert to fraction form
    115,201.50/236,142 = 236,142/x
  3. Step 3: Cross multiply
    115,201.50x = 236,142 × 236,142
  4. Step 4: Simplify right side
    115,201.50x = 55,763,044,164
  5. Step 5: Solve for x
    x = 55,763,044,164/115,201.50
  6. Step 6: Final answer
    x = 484,047.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.