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Finding the Third Proportional to 153,888 and 231,845

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Solution

The third proportional to 153,888 and 231,845 is: 349,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,888 : 231,845 = 231,845 : x
  2. Step 2: Convert to fraction form
    153,888/231,845 = 231,845/x
  3. Step 3: Cross multiply
    153,888x = 231,845 × 231,845
  4. Step 4: Simplify right side
    153,888x = 53,752,104,025
  5. Step 5: Solve for x
    x = 53,752,104,025/153,888
  6. Step 6: Final answer
    x = 349,293.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.