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Finding the Third Proportional to 155,847 and 338,262

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Solution

The third proportional to 155,847 and 338,262 is: 734,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,847 : 338,262 = 338,262 : x
  2. Step 2: Convert to fraction form
    155,847/338,262 = 338,262/x
  3. Step 3: Cross multiply
    155,847x = 338,262 × 338,262
  4. Step 4: Simplify right side
    155,847x = 114,421,180,644
  5. Step 5: Solve for x
    x = 114,421,180,644/155,847
  6. Step 6: Final answer
    x = 734,189.18

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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.