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Finding the Third Proportional to 260,858 and 349,409

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Solution

The third proportional to 260,858 and 349,409 is: 468,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,858 : 349,409 = 349,409 : x
  2. Step 2: Convert to fraction form
    260,858/349,409 = 349,409/x
  3. Step 3: Cross multiply
    260,858x = 349,409 × 349,409
  4. Step 4: Simplify right side
    260,858x = 122,086,649,281
  5. Step 5: Solve for x
    x = 122,086,649,281/260,858
  6. Step 6: Final answer
    x = 468,019.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.