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Finding the Third Proportional to 115,454 and 239,980

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Solution

The third proportional to 115,454 and 239,980 is: 498,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,454 : 239,980 = 239,980 : x
  2. Step 2: Convert to fraction form
    115,454/239,980 = 239,980/x
  3. Step 3: Cross multiply
    115,454x = 239,980 × 239,980
  4. Step 4: Simplify right side
    115,454x = 57,590,400,400
  5. Step 5: Solve for x
    x = 57,590,400,400/115,454
  6. Step 6: Final answer
    x = 498,816.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.