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Finding the Third Proportional to 167,920 and 259,960

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Solution

The third proportional to 167,920 and 259,960 is: 402,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,920 : 259,960 = 259,960 : x
  2. Step 2: Convert to fraction form
    167,920/259,960 = 259,960/x
  3. Step 3: Cross multiply
    167,920x = 259,960 × 259,960
  4. Step 4: Simplify right side
    167,920x = 67,579,201,600
  5. Step 5: Solve for x
    x = 67,579,201,600/167,920
  6. Step 6: Final answer
    x = 402,448.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.