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Finding the Third Proportional to 258,911 and 349,805

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Solution

The third proportional to 258,911 and 349,805 is: 472,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,911 : 349,805 = 349,805 : x
  2. Step 2: Convert to fraction form
    258,911/349,805 = 349,805/x
  3. Step 3: Cross multiply
    258,911x = 349,805 × 349,805
  4. Step 4: Simplify right side
    258,911x = 122,363,538,025
  5. Step 5: Solve for x
    x = 122,363,538,025/258,911
  6. Step 6: Final answer
    x = 472,608.49

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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.