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Finding the Third Proportional to 231,270 and 557,153

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Solution

The third proportional to 231,270 and 557,153 is: 1,342,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,270 : 557,153 = 557,153 : x
  2. Step 2: Convert to fraction form
    231,270/557,153 = 557,153/x
  3. Step 3: Cross multiply
    231,270x = 557,153 × 557,153
  4. Step 4: Simplify right side
    231,270x = 310,419,465,409
  5. Step 5: Solve for x
    x = 310,419,465,409/231,270
  6. Step 6: Final answer
    x = 1,342,238.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.