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Finding the Third Proportional to 258,922 and 349,822

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Solution

The third proportional to 258,922 and 349,822 is: 472,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,922 : 349,822 = 349,822 : x
  2. Step 2: Convert to fraction form
    258,922/349,822 = 349,822/x
  3. Step 3: Cross multiply
    258,922x = 349,822 × 349,822
  4. Step 4: Simplify right side
    258,922x = 122,375,431,684
  5. Step 5: Solve for x
    x = 122,375,431,684/258,922
  6. Step 6: Final answer
    x = 472,634.35

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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.