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Finding the Third Proportional to 155,235.75 and 231,431.25

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Solution

The third proportional to 155,235.75 and 231,431.25 is: 345,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,235.75 : 231,431.25 = 231,431.25 : x
  2. Step 2: Convert to fraction form
    155,235.75/231,431.25 = 231,431.25/x
  3. Step 3: Cross multiply
    155,235.75x = 231,431.25 × 231,431.25
  4. Step 4: Simplify right side
    155,235.75x = 53,560,423,476.56
  5. Step 5: Solve for x
    x = 53,560,423,476.56/155,235.75
  6. Step 6: Final answer
    x = 345,026.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.