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Finding the Third Proportional to 154,378 and 230,991

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Solution

The third proportional to 154,378 and 230,991 is: 345,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,378 : 230,991 = 230,991 : x
  2. Step 2: Convert to fraction form
    154,378/230,991 = 230,991/x
  3. Step 3: Cross multiply
    154,378x = 230,991 × 230,991
  4. Step 4: Simplify right side
    154,378x = 53,356,842,081
  5. Step 5: Solve for x
    x = 53,356,842,081/154,378
  6. Step 6: Final answer
    x = 345,624.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.