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Finding the Third Proportional to 177,731 and 389,903

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Solution

The third proportional to 177,731 and 389,903 is: 855,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,731 : 389,903 = 389,903 : x
  2. Step 2: Convert to fraction form
    177,731/389,903 = 389,903/x
  3. Step 3: Cross multiply
    177,731x = 389,903 × 389,903
  4. Step 4: Simplify right side
    177,731x = 152,024,349,409
  5. Step 5: Solve for x
    x = 152,024,349,409/177,731
  6. Step 6: Final answer
    x = 855,362.03

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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.