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Finding the Third Proportional to 261,119 and 352,311

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Solution

The third proportional to 261,119 and 352,311 is: 475,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,119 : 352,311 = 352,311 : x
  2. Step 2: Convert to fraction form
    261,119/352,311 = 352,311/x
  3. Step 3: Cross multiply
    261,119x = 352,311 × 352,311
  4. Step 4: Simplify right side
    261,119x = 124,123,040,721
  5. Step 5: Solve for x
    x = 124,123,040,721/261,119
  6. Step 6: Final answer
    x = 475,350.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.