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Finding the Third Proportional to 181,135.50 and 397,263

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Solution

The third proportional to 181,135.50 and 397,263 is: 871,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,135.50 : 397,263 = 397,263 : x
  2. Step 2: Convert to fraction form
    181,135.50/397,263 = 397,263/x
  3. Step 3: Cross multiply
    181,135.50x = 397,263 × 397,263
  4. Step 4: Simplify right side
    181,135.50x = 157,817,891,169
  5. Step 5: Solve for x
    x = 157,817,891,169/181,135.50
  6. Step 6: Final answer
    x = 871,269.80

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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.