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Finding the Third Proportional to 178,886 and 369,112

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Solution

The third proportional to 178,886 and 369,112 is: 761,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,886 : 369,112 = 369,112 : x
  2. Step 2: Convert to fraction form
    178,886/369,112 = 369,112/x
  3. Step 3: Cross multiply
    178,886x = 369,112 × 369,112
  4. Step 4: Simplify right side
    178,886x = 136,243,668,544
  5. Step 5: Solve for x
    x = 136,243,668,544/178,886
  6. Step 6: Final answer
    x = 761,622.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.