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Finding the Third Proportional to 258,956 and 349,872

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Solution

The third proportional to 258,956 and 349,872 is: 472,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,956 : 349,872 = 349,872 : x
  2. Step 2: Convert to fraction form
    258,956/349,872 = 349,872/x
  3. Step 3: Cross multiply
    258,956x = 349,872 × 349,872
  4. Step 4: Simplify right side
    258,956x = 122,410,416,384
  5. Step 5: Solve for x
    x = 122,410,416,384/258,956
  6. Step 6: Final answer
    x = 472,707.40

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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.