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Finding the Third Proportional to 238,800 and 354,864

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Solution

The third proportional to 238,800 and 354,864 is: 527,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,800 : 354,864 = 354,864 : x
  2. Step 2: Convert to fraction form
    238,800/354,864 = 354,864/x
  3. Step 3: Cross multiply
    238,800x = 354,864 × 354,864
  4. Step 4: Simplify right side
    238,800x = 125,928,458,496
  5. Step 5: Solve for x
    x = 125,928,458,496/238,800
  6. Step 6: Final answer
    x = 527,338.60

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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.