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Finding the Third Proportional to 258,905 and 349,801

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Solution

The third proportional to 258,905 and 349,801 is: 472,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,905 : 349,801 = 349,801 : x
  2. Step 2: Convert to fraction form
    258,905/349,801 = 349,801/x
  3. Step 3: Cross multiply
    258,905x = 349,801 × 349,801
  4. Step 4: Simplify right side
    258,905x = 122,360,739,601
  5. Step 5: Solve for x
    x = 122,360,739,601/258,905
  6. Step 6: Final answer
    x = 472,608.64

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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.