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Finding the Third Proportional to 155,808 and 338,112

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Solution

The third proportional to 155,808 and 338,112 is: 733,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,808 : 338,112 = 338,112 : x
  2. Step 2: Convert to fraction form
    155,808/338,112 = 338,112/x
  3. Step 3: Cross multiply
    155,808x = 338,112 × 338,112
  4. Step 4: Simplify right side
    155,808x = 114,319,724,544
  5. Step 5: Solve for x
    x = 114,319,724,544/155,808
  6. Step 6: Final answer
    x = 733,721.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.