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Finding the Third Proportional to 134,611 and 208,407

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Solution

The third proportional to 134,611 and 208,407 is: 322,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,611 : 208,407 = 208,407 : x
  2. Step 2: Convert to fraction form
    134,611/208,407 = 208,407/x
  3. Step 3: Cross multiply
    134,611x = 208,407 × 208,407
  4. Step 4: Simplify right side
    134,611x = 43,433,477,649
  5. Step 5: Solve for x
    x = 43,433,477,649/134,611
  6. Step 6: Final answer
    x = 322,659.20

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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.