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Finding the Third Proportional to 159,686 and 345,952

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Solution

The third proportional to 159,686 and 345,952 is: 749,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,686 : 345,952 = 345,952 : x
  2. Step 2: Convert to fraction form
    159,686/345,952 = 345,952/x
  3. Step 3: Cross multiply
    159,686x = 345,952 × 345,952
  4. Step 4: Simplify right side
    159,686x = 119,682,786,304
  5. Step 5: Solve for x
    x = 119,682,786,304/159,686
  6. Step 6: Final answer
    x = 749,488.29

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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.