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Finding the Third Proportional to 115,458 and 239,988

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Solution

The third proportional to 115,458 and 239,988 is: 498,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,458 : 239,988 = 239,988 : x
  2. Step 2: Convert to fraction form
    115,458/239,988 = 239,988/x
  3. Step 3: Cross multiply
    115,458x = 239,988 × 239,988
  4. Step 4: Simplify right side
    115,458x = 57,594,240,144
  5. Step 5: Solve for x
    x = 57,594,240,144/115,458
  6. Step 6: Final answer
    x = 498,832.82

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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.