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Finding the Third Proportional to 178,758 and 369,889

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Solution

The third proportional to 178,758 and 369,889 is: 765,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,758 : 369,889 = 369,889 : x
  2. Step 2: Convert to fraction form
    178,758/369,889 = 369,889/x
  3. Step 3: Cross multiply
    178,758x = 369,889 × 369,889
  4. Step 4: Simplify right side
    178,758x = 136,817,872,321
  5. Step 5: Solve for x
    x = 136,817,872,321/178,758
  6. Step 6: Final answer
    x = 765,380.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.