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Finding the Third Proportional to 260,856 and 349,406

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Solution

The third proportional to 260,856 and 349,406 is: 468,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,856 : 349,406 = 349,406 : x
  2. Step 2: Convert to fraction form
    260,856/349,406 = 349,406/x
  3. Step 3: Cross multiply
    260,856x = 349,406 × 349,406
  4. Step 4: Simplify right side
    260,856x = 122,084,552,836
  5. Step 5: Solve for x
    x = 122,084,552,836/260,856
  6. Step 6: Final answer
    x = 468,015.12

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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.