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Finding the Third Proportional to 153,956 and 338,152

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Solution

The third proportional to 153,956 and 338,152 is: 742,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,956 : 338,152 = 338,152 : x
  2. Step 2: Convert to fraction form
    153,956/338,152 = 338,152/x
  3. Step 3: Cross multiply
    153,956x = 338,152 × 338,152
  4. Step 4: Simplify right side
    153,956x = 114,346,775,104
  5. Step 5: Solve for x
    x = 114,346,775,104/153,956
  6. Step 6: Final answer
    x = 742,723.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.